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Finding the Fourth Proportional to 3,951.09, 5,452.38 and 2,182.74

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Solution

The fourth proportional to 3,951.09, 5,452.38 and 2,182.74 is: 3,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.09 : 5,452.38 = 2,182.74 : x
  2. Step 2: Convert to fraction form
    3,951.09/5,452.38 = 2,182.74/x
  3. Step 3: Cross multiply
    3,951.09x = 5,452.38 × 2,182.74
  4. Step 4: Simplify right side
    3,951.09x = 11,901,127.92
  5. Step 5: Solve for x
    x = 11,901,127.92/3,951.09
  6. Step 6: Final answer
    x = 3,012.11

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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.