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Finding the Fourth Proportional to 6,337.97, 8,743.49 and 4,100.57

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Solution

The fourth proportional to 6,337.97, 8,743.49 and 4,100.57 is: 5,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.97 : 8,743.49 = 4,100.57 : x
  2. Step 2: Convert to fraction form
    6,337.97/8,743.49 = 4,100.57/x
  3. Step 3: Cross multiply
    6,337.97x = 8,743.49 × 4,100.57
  4. Step 4: Simplify right side
    6,337.97x = 35,853,292.11
  5. Step 5: Solve for x
    x = 35,853,292.11/6,337.97
  6. Step 6: Final answer
    x = 5,656.90

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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.