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Finding the Fourth Proportional to 5,227.11, 7,842.86 and 3,254.39

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Solution

The fourth proportional to 5,227.11, 7,842.86 and 3,254.39 is: 4,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.11 : 7,842.86 = 3,254.39 : x
  2. Step 2: Convert to fraction form
    5,227.11/7,842.86 = 3,254.39/x
  3. Step 3: Cross multiply
    5,227.11x = 7,842.86 × 3,254.39
  4. Step 4: Simplify right side
    5,227.11x = 25,523,717.02
  5. Step 5: Solve for x
    x = 25,523,717.02/5,227.11
  6. Step 6: Final answer
    x = 4,882.95

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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.