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Finding the Fourth Proportional to 3,882.30, 5,357.71 and 2,114.03

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Solution

The fourth proportional to 3,882.30, 5,357.71 and 2,114.03 is: 2,917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.30 : 5,357.71 = 2,114.03 : x
  2. Step 2: Convert to fraction form
    3,882.30/5,357.71 = 2,114.03/x
  3. Step 3: Cross multiply
    3,882.30x = 5,357.71 × 2,114.03
  4. Step 4: Simplify right side
    3,882.30x = 11,326,375.71
  5. Step 5: Solve for x
    x = 11,326,375.71/3,882.30
  6. Step 6: Final answer
    x = 2,917.44

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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.