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Whether it's worth it depends, but generally, the fastest CPUs are approaching twice as fast as yours. You can reference the first chart in this review for the 14900K to get an idea.
https://www.techpowerup.com/review/intel-core-i9-14900k/17.html
Keep in mind all those percentages are being scaled to the 14900K being reviewed and not the fastest CPU which is almost 6% faster here, so the percentages below are a bit lower than they show relative to the 7800X3D. You can see by then that the 3700X can be almost half as fast. In reality, you won't see twice the uplift unless you're always CPU bound now and never GPU bound though, but it's still a pretty substantial difference.
I personally went to a 5800X3D from my 3700X (7800X3D didn't yet exist, and I wouldn't have made such a change anyway with the 5800X3D available on the existing platform). It was a pretty substantial uplift for me in CPU limited things, but I feel like the 3700X is still more than serviceable (just not considered too fast anymore), especially for GPU limited things.
If you're on the fence and not desperate for an upgrade, you could wait for Computex in June. AMD is expected to give details on the upcoming AM5 stuff and we might get information on when the base lineup and the following X3D will launch. I'm personally waiting on the 9800X3D. But a 7800X3D would be a substantial upgrade still, cheaper, and is available now.
You can expect upwards of 30% in the least in just raw CPU performance from Zen2 to Zen4, but it's debatable if it's really worth spending the money yet because there's going to be a new generation in a few more months that'll be even faster. It's not that simple to justify the purchase right now.
Will still be a nice jump in performance and can upgrade to AM5 once the 9000s prices settle.
Yeah, 7800X3D will be faster but not that much to justify a new motherboard + DDR5 memory kit over your existing AM4 platform.
The algorithm has been screwed with so many times over the years that none of it is even accurate anymore.
I upgraded from a 5800x to a 7800x3D about 6 months ago and it's been worth every penny.