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Finding the Fourth Proportional to 3,951.43, 5,452.97 and 2,272.80

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Solution

The fourth proportional to 3,951.43, 5,452.97 and 2,272.80 is: 3,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.43 : 5,452.97 = 2,272.80 : x
  2. Step 2: Convert to fraction form
    3,951.43/5,452.97 = 2,272.80/x
  3. Step 3: Cross multiply
    3,951.43x = 5,452.97 × 2,272.80
  4. Step 4: Simplify right side
    3,951.43x = 12,393,493.74
  5. Step 5: Solve for x
    x = 12,393,493.74/3,951.43
  6. Step 6: Final answer
    x = 3,136.46

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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.