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Finding the Fourth Proportional to 5,462.67, 7,532.52 and 3,691.20

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Solution

The fourth proportional to 5,462.67, 7,532.52 and 3,691.20 is: 5,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.67 : 7,532.52 = 3,691.20 : x
  2. Step 2: Convert to fraction form
    5,462.67/7,532.52 = 3,691.20/x
  3. Step 3: Cross multiply
    5,462.67x = 7,532.52 × 3,691.20
  4. Step 4: Simplify right side
    5,462.67x = 27,804,037.82
  5. Step 5: Solve for x
    x = 27,804,037.82/5,462.67
  6. Step 6: Final answer
    x = 5,089.83

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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.