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Finding the Fourth Proportional to 6,481.52, 8,941.68 and 4,122.39

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Solution

The fourth proportional to 6,481.52, 8,941.68 and 4,122.39 is: 5,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.52 : 8,941.68 = 4,122.39 : x
  2. Step 2: Convert to fraction form
    6,481.52/8,941.68 = 4,122.39/x
  3. Step 3: Cross multiply
    6,481.52x = 8,941.68 × 4,122.39
  4. Step 4: Simplify right side
    6,481.52x = 36,861,092.22
  5. Step 5: Solve for x
    x = 36,861,092.22/6,481.52
  6. Step 6: Final answer
    x = 5,687.11

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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.