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Finding the Fourth Proportional to 5,732.52, 8,552.14 and 5,658.80

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Solution

The fourth proportional to 5,732.52, 8,552.14 and 5,658.80 is: 8,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.52 : 8,552.14 = 5,658.80 : x
  2. Step 2: Convert to fraction form
    5,732.52/8,552.14 = 5,658.80/x
  3. Step 3: Cross multiply
    5,732.52x = 8,552.14 × 5,658.80
  4. Step 4: Simplify right side
    5,732.52x = 48,394,849.83
  5. Step 5: Solve for x
    x = 48,394,849.83/5,732.52
  6. Step 6: Final answer
    x = 8,442.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.