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Finding the Fourth Proportional to 3,882.40, 5,357.68 and 2,113.97

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Solution

The fourth proportional to 3,882.40, 5,357.68 and 2,113.97 is: 2,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.40 : 5,357.68 = 2,113.97 : x
  2. Step 2: Convert to fraction form
    3,882.40/5,357.68 = 2,113.97/x
  3. Step 3: Cross multiply
    3,882.40x = 5,357.68 × 2,113.97
  4. Step 4: Simplify right side
    3,882.40x = 11,325,942.72
  5. Step 5: Solve for x
    x = 11,325,942.72/3,882.40
  6. Step 6: Final answer
    x = 2,917.25

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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.