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Finding the Fourth Proportional to 5,227.73, 7,841.60 and 2,452.47

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Solution

The fourth proportional to 5,227.73, 7,841.60 and 2,452.47 is: 3,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.73 : 7,841.60 = 2,452.47 : x
  2. Step 2: Convert to fraction form
    5,227.73/7,841.60 = 2,452.47/x
  3. Step 3: Cross multiply
    5,227.73x = 7,841.60 × 2,452.47
  4. Step 4: Simplify right side
    5,227.73x = 19,231,288.75
  5. Step 5: Solve for x
    x = 19,231,288.75/5,227.73
  6. Step 6: Final answer
    x = 3,678.71

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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.