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Finding the Fourth Proportional to 3,658.52, 5,488.31 and 1,061.12

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Solution

The fourth proportional to 3,658.52, 5,488.31 and 1,061.12 is: 1,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.52 : 5,488.31 = 1,061.12 : x
  2. Step 2: Convert to fraction form
    3,658.52/5,488.31 = 1,061.12/x
  3. Step 3: Cross multiply
    3,658.52x = 5,488.31 × 1,061.12
  4. Step 4: Simplify right side
    3,658.52x = 5,823,730.72
  5. Step 5: Solve for x
    x = 5,823,730.72/3,658.52
  6. Step 6: Final answer
    x = 1,591.83

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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.