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Finding the Fourth Proportional to 3,924.14, 5,887.02 and 1,327.28

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Solution

The fourth proportional to 3,924.14, 5,887.02 and 1,327.28 is: 1,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.14 : 5,887.02 = 1,327.28 : x
  2. Step 2: Convert to fraction form
    3,924.14/5,887.02 = 1,327.28/x
  3. Step 3: Cross multiply
    3,924.14x = 5,887.02 × 1,327.28
  4. Step 4: Simplify right side
    3,924.14x = 7,813,723.91
  5. Step 5: Solve for x
    x = 7,813,723.91/3,924.14
  6. Step 6: Final answer
    x = 1,991.19

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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.