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Finding the Fourth Proportional to 6,232.38, 8,601.48 and 3,874.83

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Solution

The fourth proportional to 6,232.38, 8,601.48 and 3,874.83 is: 5,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.38 : 8,601.48 = 3,874.83 : x
  2. Step 2: Convert to fraction form
    6,232.38/8,601.48 = 3,874.83/x
  3. Step 3: Cross multiply
    6,232.38x = 8,601.48 × 3,874.83
  4. Step 4: Simplify right side
    6,232.38x = 33,329,272.75
  5. Step 5: Solve for x
    x = 33,329,272.75/6,232.38
  6. Step 6: Final answer
    x = 5,347.76

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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.