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Finding the Fourth Proportional to 5,711.20, 7,881.44 and 3,227.20

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Solution

The fourth proportional to 5,711.20, 7,881.44 and 3,227.20 is: 4,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.20 : 7,881.44 = 3,227.20 : x
  2. Step 2: Convert to fraction form
    5,711.20/7,881.44 = 3,227.20/x
  3. Step 3: Cross multiply
    5,711.20x = 7,881.44 × 3,227.20
  4. Step 4: Simplify right side
    5,711.20x = 25,434,983.17
  5. Step 5: Solve for x
    x = 25,434,983.17/5,711.20
  6. Step 6: Final answer
    x = 4,453.53

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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.