Why did they skip the 4th Hokage and choose the 5th instead after the 3rd died? I think I didn't watch Naruto carefully because I can't understand one thing: After the third Hokage died, the fifth was chosen. Why did they skip the Fourth Hokage?
After Sarutobi Hiruzen (the third hokage) stepped down, Namikaze Minato (Naruto's father) became the fourth hokage. Minato died during the kyuubi attack during which it was sealed inside Uzumaki Naruto. Konoha now lacking a hokage, they chose to bring back Sarutobi into office.

So they didn't skip the fourth hokage, they just reinstated the third one after the fourth...