4 amps is a bit high. I thought the booster needed 2.5 amps to bring 3.7v up to 5v. Speaking of, I know these batts can handle at least 2.4 amps seeing as I can use my Cisco LR 1.5 ohm atties with them no problem. I know they can handle at least 2.4 amps, so they should be able to handle the amps required of the booster (according to ohms law).