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Finding the Fourth Proportional to 5,732.59, 7,908.05 and 3,744.31

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Solution

The fourth proportional to 5,732.59, 7,908.05 and 3,744.31 is: 5,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.59 : 7,908.05 = 3,744.31 : x
  2. Step 2: Convert to fraction form
    5,732.59/7,908.05 = 3,744.31/x
  3. Step 3: Cross multiply
    5,732.59x = 7,908.05 × 3,744.31
  4. Step 4: Simplify right side
    5,732.59x = 29,610,190.70
  5. Step 5: Solve for x
    x = 29,610,190.70/5,732.59
  6. Step 6: Final answer
    x = 5,165.24

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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.