Hematite is a common iron oxide compound with the formula Fe₂O₃ and is widely found in rocks and soils. The iron can then be extracted from the Hematite by the following set of reactions: 

3 Fe₂O₃ + CO → 2 Fe₃O₄ + CO₂

Fe₃O₄ + CO → 3 FeO + CO₂

FeO + CO → Fe + CO₂

Suppose that the first and second reaction is carried out with an 85.6 % yield. If the third reaction is carried out with a 95.6 % yield, what mass of iron can be obtained from 5.00 kg of hematite?