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Finding the Fourth Proportional to 4,104.92, 5,665.02 and 2,427.31

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Solution

The fourth proportional to 4,104.92, 5,665.02 and 2,427.31 is: 3,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.92 : 5,665.02 = 2,427.31 : x
  2. Step 2: Convert to fraction form
    4,104.92/5,665.02 = 2,427.31/x
  3. Step 3: Cross multiply
    4,104.92x = 5,665.02 × 2,427.31
  4. Step 4: Simplify right side
    4,104.92x = 13,750,759.70
  5. Step 5: Solve for x
    x = 13,750,759.70/4,104.92
  6. Step 6: Final answer
    x = 3,349.82

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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.