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Finding the Fourth Proportional to 3,879.28, 5,817.78 and 1,687.48

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Solution

The fourth proportional to 3,879.28, 5,817.78 and 1,687.48 is: 2,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.28 : 5,817.78 = 1,687.48 : x
  2. Step 2: Convert to fraction form
    3,879.28/5,817.78 = 1,687.48/x
  3. Step 3: Cross multiply
    3,879.28x = 5,817.78 × 1,687.48
  4. Step 4: Simplify right side
    3,879.28x = 9,817,387.39
  5. Step 5: Solve for x
    x = 9,817,387.39/3,879.28
  6. Step 6: Final answer
    x = 2,530.72

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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.