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Finding the Fourth Proportional to 3,923.60, 5,906.78 and 3,387.92

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Solution

The fourth proportional to 3,923.60, 5,906.78 and 3,387.92 is: 5,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.60 : 5,906.78 = 3,387.92 : x
  2. Step 2: Convert to fraction form
    3,923.60/5,906.78 = 3,387.92/x
  3. Step 3: Cross multiply
    3,923.60x = 5,906.78 × 3,387.92
  4. Step 4: Simplify right side
    3,923.60x = 20,011,698.10
  5. Step 5: Solve for x
    x = 20,011,698.10/3,923.60
  6. Step 6: Final answer
    x = 5,100.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.