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Finding the Fourth Proportional to 3,882.40, 5,357.54 and 2,114

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Solution

The fourth proportional to 3,882.40, 5,357.54 and 2,114 is: 2,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.40 : 5,357.54 = 2,114 : x
  2. Step 2: Convert to fraction form
    3,882.40/5,357.54 = 2,114/x
  3. Step 3: Cross multiply
    3,882.40x = 5,357.54 × 2,114
  4. Step 4: Simplify right side
    3,882.40x = 11,325,839.56
  5. Step 5: Solve for x
    x = 11,325,839.56/3,882.40
  6. Step 6: Final answer
    x = 2,917.23

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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.