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Finding the Fourth Proportional to 3,882.60, 5,357.84 and 2,114.17

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Solution

The fourth proportional to 3,882.60, 5,357.84 and 2,114.17 is: 2,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.60 : 5,357.84 = 2,114.17 : x
  2. Step 2: Convert to fraction form
    3,882.60/5,357.84 = 2,114.17/x
  3. Step 3: Cross multiply
    3,882.60x = 5,357.84 × 2,114.17
  4. Step 4: Simplify right side
    3,882.60x = 11,327,384.59
  5. Step 5: Solve for x
    x = 11,327,384.59/3,882.60
  6. Step 6: Final answer
    x = 2,917.47

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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.