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Finding the Fourth Proportional to 3,882.61, 5,357.81 and 2,114.15

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Solution

The fourth proportional to 3,882.61, 5,357.81 and 2,114.15 is: 2,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.61 : 5,357.81 = 2,114.15 : x
  2. Step 2: Convert to fraction form
    3,882.61/5,357.81 = 2,114.15/x
  3. Step 3: Cross multiply
    3,882.61x = 5,357.81 × 2,114.15
  4. Step 4: Simplify right side
    3,882.61x = 11,327,203.44
  5. Step 5: Solve for x
    x = 11,327,203.44/3,882.61
  6. Step 6: Final answer
    x = 2,917.42

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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.