1ppm ammonia processes to 2.7 ppm nitrite and 3.6 ppm nitrate, approximately.
For only 7 days in, those are unusually good results
As stated above, things are going well for only 7 days in. This is one of the fastest fishless cycles I've seen. Was anything in your tank, or was your filter previously used before you started this cycle?
Keep it up!
4-5 days? I assume it would take twice as many bacteria to do 4 ppm to 0 ppm in 24 hours, and double again from 4 ppm to 0 ppm in 12 hours (which isn't actually the case, but it may be a good enough estimate), so you need 4 * more bacteria than you have now. The bacteria should double in number in under 2 days, if the conditions are ideal..