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Finding the Fourth Proportional to 6,432.52, 8,871.87 and 4,307.38

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Solution

The fourth proportional to 6,432.52, 8,871.87 and 4,307.38 is: 5,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.52 : 8,871.87 = 4,307.38 : x
  2. Step 2: Convert to fraction form
    6,432.52/8,871.87 = 4,307.38/x
  3. Step 3: Cross multiply
    6,432.52x = 8,871.87 × 4,307.38
  4. Step 4: Simplify right side
    6,432.52x = 38,214,515.40
  5. Step 5: Solve for x
    x = 38,214,515.40/6,432.52
  6. Step 6: Final answer
    x = 5,940.83

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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.