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Finding the Fourth Proportional to 6,139.92, 8,470.38 and 4,149.76

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Solution

The fourth proportional to 6,139.92, 8,470.38 and 4,149.76 is: 5,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.92 : 8,470.38 = 4,149.76 : x
  2. Step 2: Convert to fraction form
    6,139.92/8,470.38 = 4,149.76/x
  3. Step 3: Cross multiply
    6,139.92x = 8,470.38 × 4,149.76
  4. Step 4: Simplify right side
    6,139.92x = 35,150,044.11
  5. Step 5: Solve for x
    x = 35,150,044.11/6,139.92
  6. Step 6: Final answer
    x = 5,724.84

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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.