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Finding the Fourth Proportional to 3,951.38, 5,452.63 and 2,182.97

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Solution

The fourth proportional to 3,951.38, 5,452.63 and 2,182.97 is: 3,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.38 : 5,452.63 = 2,182.97 : x
  2. Step 2: Convert to fraction form
    3,951.38/5,452.63 = 2,182.97/x
  3. Step 3: Cross multiply
    3,951.38x = 5,452.63 × 2,182.97
  4. Step 4: Simplify right side
    3,951.38x = 11,902,927.71
  5. Step 5: Solve for x
    x = 11,902,927.71/3,951.38
  6. Step 6: Final answer
    x = 3,012.35

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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.