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Finding the Fourth Proportional to 6,431.52, 8,871.78 and 3,778.38

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Solution

The fourth proportional to 6,431.52, 8,871.78 and 3,778.38 is: 5,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.52 : 8,871.78 = 3,778.38 : x
  2. Step 2: Convert to fraction form
    6,431.52/8,871.78 = 3,778.38/x
  3. Step 3: Cross multiply
    6,431.52x = 8,871.78 × 3,778.38
  4. Step 4: Simplify right side
    6,431.52x = 33,520,956.12
  5. Step 5: Solve for x
    x = 33,520,956.12/6,431.52
  6. Step 6: Final answer
    x = 5,211.98

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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.