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Finding the Fourth Proportional to 6,177.38, 8,524.78 and 3,382.88

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Solution

The fourth proportional to 6,177.38, 8,524.78 and 3,382.88 is: 4,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.38 : 8,524.78 = 3,382.88 : x
  2. Step 2: Convert to fraction form
    6,177.38/8,524.78 = 3,382.88/x
  3. Step 3: Cross multiply
    6,177.38x = 8,524.78 × 3,382.88
  4. Step 4: Simplify right side
    6,177.38x = 28,838,256.69
  5. Step 5: Solve for x
    x = 28,838,256.69/6,177.38
  6. Step 6: Final answer
    x = 4,668.37

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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.