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Finding the Fourth Proportional to 3,761.94, 5,193.99 and 2,882.34

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Solution

The fourth proportional to 3,761.94, 5,193.99 and 2,882.34 is: 3,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.94 : 5,193.99 = 2,882.34 : x
  2. Step 2: Convert to fraction form
    3,761.94/5,193.99 = 2,882.34/x
  3. Step 3: Cross multiply
    3,761.94x = 5,193.99 × 2,882.34
  4. Step 4: Simplify right side
    3,761.94x = 14,970,845.14
  5. Step 5: Solve for x
    x = 14,970,845.14/3,761.94
  6. Step 6: Final answer
    x = 3,979.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.