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Finding the Fourth Proportional to 3,814.72, 5,722.02 and 2,781.28

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Solution

The fourth proportional to 3,814.72, 5,722.02 and 2,781.28 is: 4,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.72 : 5,722.02 = 2,781.28 : x
  2. Step 2: Convert to fraction form
    3,814.72/5,722.02 = 2,781.28/x
  3. Step 3: Cross multiply
    3,814.72x = 5,722.02 × 2,781.28
  4. Step 4: Simplify right side
    3,814.72x = 15,914,539.79
  5. Step 5: Solve for x
    x = 15,914,539.79/3,814.72
  6. Step 6: Final answer
    x = 4,171.88

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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.