prevladati

1. (of difficulties, fear) to overcome
   Posle dugo vremena prevladala je strah od letenja. — After a long time she overcame her fear of flying.
   Firma je prevladala krizu i ponovo zapošljava. — The company overcame the crisis and is hiring again.
2. (of opinions, moods) to prevail; to predominate
   Na kraju je prevladalo mišljenje većine. — In the end the majority opinion prevailed.

In the sense "to predominate", preovladati is more common in Serbia.