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Finding the Fourth Proportional to 6,452.38, 8,909.34 and 4,957.96

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Solution

The fourth proportional to 6,452.38, 8,909.34 and 4,957.96 is: 6,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.38 : 8,909.34 = 4,957.96 : x
  2. Step 2: Convert to fraction form
    6,452.38/8,909.34 = 4,957.96/x
  3. Step 3: Cross multiply
    6,452.38x = 8,909.34 × 4,957.96
  4. Step 4: Simplify right side
    6,452.38x = 44,172,151.35
  5. Step 5: Solve for x
    x = 44,172,151.35/6,452.38
  6. Step 6: Final answer
    x = 6,845.87

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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.