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Finding the Fourth Proportional to 3,882.38, 5,824.20 and 1,384.34

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Solution

The fourth proportional to 3,882.38, 5,824.20 and 1,384.34 is: 2,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.38 : 5,824.20 = 1,384.34 : x
  2. Step 2: Convert to fraction form
    3,882.38/5,824.20 = 1,384.34/x
  3. Step 3: Cross multiply
    3,882.38x = 5,824.20 × 1,384.34
  4. Step 4: Simplify right side
    3,882.38x = 8,062,643.91
  5. Step 5: Solve for x
    x = 8,062,643.91/3,882.38
  6. Step 6: Final answer
    x = 2,076.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.