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Finding the Fourth Proportional to 3,778.71, 5,660.77 and 1,832.28

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Solution

The fourth proportional to 3,778.71, 5,660.77 and 1,832.28 is: 2,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.71 : 5,660.77 = 1,832.28 : x
  2. Step 2: Convert to fraction form
    3,778.71/5,660.77 = 1,832.28/x
  3. Step 3: Cross multiply
    3,778.71x = 5,660.77 × 1,832.28
  4. Step 4: Simplify right side
    3,778.71x = 10,372,115.66
  5. Step 5: Solve for x
    x = 10,372,115.66/3,778.71
  6. Step 6: Final answer
    x = 2,744.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.