I was 3 to 4 centi with my last baby doc sent me to the hosptial to be induced but then again my son was 10lbs at 38weeks so doc was going to inducced anyways
I think even if your 3-4 centimeters and not progressing they'll wait it out and hope you start to. And at 42 week mark induce.
At a hospital? They kept me at 4 1/2 cm and my contractions were 2 min apart