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Finding the Fourth Proportional to 6,375.20, 8,798.38 and 3,857.92

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Solution

The fourth proportional to 6,375.20, 8,798.38 and 3,857.92 is: 5,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.20 : 8,798.38 = 3,857.92 : x
  2. Step 2: Convert to fraction form
    6,375.20/8,798.38 = 3,857.92/x
  3. Step 3: Cross multiply
    6,375.20x = 8,798.38 × 3,857.92
  4. Step 4: Simplify right side
    6,375.20x = 33,943,414.53
  5. Step 5: Solve for x
    x = 33,943,414.53/6,375.20
  6. Step 6: Final answer
    x = 5,324.29

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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.