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Finding the Fourth Proportional to 5,470.28, 7,549.44 and 4,472.76

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Solution

The fourth proportional to 5,470.28, 7,549.44 and 4,472.76 is: 6,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.28 : 7,549.44 = 4,472.76 : x
  2. Step 2: Convert to fraction form
    5,470.28/7,549.44 = 4,472.76/x
  3. Step 3: Cross multiply
    5,470.28x = 7,549.44 × 4,472.76
  4. Step 4: Simplify right side
    5,470.28x = 33,766,833.25
  5. Step 5: Solve for x
    x = 33,766,833.25/5,470.28
  6. Step 6: Final answer
    x = 6,172.78

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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.