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Finding the Fourth Proportional to 6,142.78, 8,470.33 and 4,149.87

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Solution

The fourth proportional to 6,142.78, 8,470.33 and 4,149.87 is: 5,722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.78 : 8,470.33 = 4,149.87 : x
  2. Step 2: Convert to fraction form
    6,142.78/8,470.33 = 4,149.87/x
  3. Step 3: Cross multiply
    6,142.78x = 8,470.33 × 4,149.87
  4. Step 4: Simplify right side
    6,142.78x = 35,150,768.36
  5. Step 5: Solve for x
    x = 35,150,768.36/6,142.78
  6. Step 6: Final answer
    x = 5,722.29

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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.