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Finding the Fourth Proportional to 5,537.70, 8,306.55 and 5,489.10

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Solution

The fourth proportional to 5,537.70, 8,306.55 and 5,489.10 is: 8,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.70 : 8,306.55 = 5,489.10 : x
  2. Step 2: Convert to fraction form
    5,537.70/8,306.55 = 5,489.10/x
  3. Step 3: Cross multiply
    5,537.70x = 8,306.55 × 5,489.10
  4. Step 4: Simplify right side
    5,537.70x = 45,595,483.61
  5. Step 5: Solve for x
    x = 45,595,483.61/5,537.70
  6. Step 6: Final answer
    x = 8,233.65

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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.