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Finding the Fourth Proportional to 3,921.66, 5,882.52 and 1,324.56

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Solution

The fourth proportional to 3,921.66, 5,882.52 and 1,324.56 is: 1,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.66 : 5,882.52 = 1,324.56 : x
  2. Step 2: Convert to fraction form
    3,921.66/5,882.52 = 1,324.56/x
  3. Step 3: Cross multiply
    3,921.66x = 5,882.52 × 1,324.56
  4. Step 4: Simplify right side
    3,921.66x = 7,791,750.69
  5. Step 5: Solve for x
    x = 7,791,750.69/3,921.66
  6. Step 6: Final answer
    x = 1,986.85

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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.