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Finding the Fourth Proportional to 5,711.25, 7,882.61 and 3,227.25

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Solution

The fourth proportional to 5,711.25, 7,882.61 and 3,227.25 is: 4,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.25 : 7,882.61 = 3,227.25 : x
  2. Step 2: Convert to fraction form
    5,711.25/7,882.61 = 3,227.25/x
  3. Step 3: Cross multiply
    5,711.25x = 7,882.61 × 3,227.25
  4. Step 4: Simplify right side
    5,711.25x = 25,439,136.99
  5. Step 5: Solve for x
    x = 25,439,136.99/5,711.25
  6. Step 6: Final answer
    x = 4,454.22

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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.