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Finding the Fourth Proportional to 6,545.70, 9,034.36 and 3,892.59

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Solution

The fourth proportional to 6,545.70, 9,034.36 and 3,892.59 is: 5,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.70 : 9,034.36 = 3,892.59 : x
  2. Step 2: Convert to fraction form
    6,545.70/9,034.36 = 3,892.59/x
  3. Step 3: Cross multiply
    6,545.70x = 9,034.36 × 3,892.59
  4. Step 4: Simplify right side
    6,545.70x = 35,167,049.66
  5. Step 5: Solve for x
    x = 35,167,049.66/6,545.70
  6. Step 6: Final answer
    x = 5,372.54

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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.