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Finding the Fourth Proportional to 3,472.27, 5,204.76 and 1,279.60

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Solution

The fourth proportional to 3,472.27, 5,204.76 and 1,279.60 is: 1,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.27 : 5,204.76 = 1,279.60 : x
  2. Step 2: Convert to fraction form
    3,472.27/5,204.76 = 1,279.60/x
  3. Step 3: Cross multiply
    3,472.27x = 5,204.76 × 1,279.60
  4. Step 4: Simplify right side
    3,472.27x = 6,660,010.90
  5. Step 5: Solve for x
    x = 6,660,010.90/3,472.27
  6. Step 6: Final answer
    x = 1,918.06

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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.