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Finding the Fourth Proportional to 3,951.14, 5,453.12 and 2,272.52

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Solution

The fourth proportional to 3,951.14, 5,453.12 and 2,272.52 is: 3,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.14 : 5,453.12 = 2,272.52 : x
  2. Step 2: Convert to fraction form
    3,951.14/5,453.12 = 2,272.52/x
  3. Step 3: Cross multiply
    3,951.14x = 5,453.12 × 2,272.52
  4. Step 4: Simplify right side
    3,951.14x = 12,392,320.57
  5. Step 5: Solve for x
    x = 12,392,320.57/3,951.14
  6. Step 6: Final answer
    x = 3,136.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.