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Finding the Fourth Proportional to 6,138.48, 8,470.98 and 3,343.92

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Solution

The fourth proportional to 6,138.48, 8,470.98 and 3,343.92 is: 4,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.48 : 8,470.98 = 3,343.92 : x
  2. Step 2: Convert to fraction form
    6,138.48/8,470.98 = 3,343.92/x
  3. Step 3: Cross multiply
    6,138.48x = 8,470.98 × 3,343.92
  4. Step 4: Simplify right side
    6,138.48x = 28,326,279.44
  5. Step 5: Solve for x
    x = 28,326,279.44/6,138.48
  6. Step 6: Final answer
    x = 4,614.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.