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Finding the Fourth Proportional to 5,129.42, 7,691.31 and 3,463.52

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Solution

The fourth proportional to 5,129.42, 7,691.31 and 3,463.52 is: 5,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.42 : 7,691.31 = 3,463.52 : x
  2. Step 2: Convert to fraction form
    5,129.42/7,691.31 = 3,463.52/x
  3. Step 3: Cross multiply
    5,129.42x = 7,691.31 × 3,463.52
  4. Step 4: Simplify right side
    5,129.42x = 26,638,967.55
  5. Step 5: Solve for x
    x = 26,638,967.55/5,129.42
  6. Step 6: Final answer
    x = 5,193.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.