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Finding the Fourth Proportional to 3,866.86, 5,338.11 and 2,375.47

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Solution

The fourth proportional to 3,866.86, 5,338.11 and 2,375.47 is: 3,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.86 : 5,338.11 = 2,375.47 : x
  2. Step 2: Convert to fraction form
    3,866.86/5,338.11 = 2,375.47/x
  3. Step 3: Cross multiply
    3,866.86x = 5,338.11 × 2,375.47
  4. Step 4: Simplify right side
    3,866.86x = 12,680,520.16
  5. Step 5: Solve for x
    x = 12,680,520.16/3,866.86
  6. Step 6: Final answer
    x = 3,279.28

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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.