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Finding the Fourth Proportional to 5,227.92, 7,845.12 and 3,837.83

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Solution

The fourth proportional to 5,227.92, 7,845.12 and 3,837.83 is: 5,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.92 : 7,845.12 = 3,837.83 : x
  2. Step 2: Convert to fraction form
    5,227.92/7,845.12 = 3,837.83/x
  3. Step 3: Cross multiply
    5,227.92x = 7,845.12 × 3,837.83
  4. Step 4: Simplify right side
    5,227.92x = 30,108,197.66
  5. Step 5: Solve for x
    x = 30,108,197.66/5,227.92
  6. Step 6: Final answer
    x = 5,759.12

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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.