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Finding the Fourth Proportional to 3,882.84, 5,358.30 and 2,114.42

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Solution

The fourth proportional to 3,882.84, 5,358.30 and 2,114.42 is: 2,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.84 : 5,358.30 = 2,114.42 : x
  2. Step 2: Convert to fraction form
    3,882.84/5,358.30 = 2,114.42/x
  3. Step 3: Cross multiply
    3,882.84x = 5,358.30 × 2,114.42
  4. Step 4: Simplify right side
    3,882.84x = 11,329,669.89
  5. Step 5: Solve for x
    x = 11,329,669.89/3,882.84
  6. Step 6: Final answer
    x = 2,917.88

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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.