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Finding the Fourth Proportional to 4,202.78, 5,799.60 and 2,314.29

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Solution

The fourth proportional to 4,202.78, 5,799.60 and 2,314.29 is: 3,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.78 : 5,799.60 = 2,314.29 : x
  2. Step 2: Convert to fraction form
    4,202.78/5,799.60 = 2,314.29/x
  3. Step 3: Cross multiply
    4,202.78x = 5,799.60 × 2,314.29
  4. Step 4: Simplify right side
    4,202.78x = 13,421,956.28
  5. Step 5: Solve for x
    x = 13,421,956.28/4,202.78
  6. Step 6: Final answer
    x = 3,193.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.