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Finding the Fourth Proportional to 3,660.42, 5,491.46 and 1,711.56

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Solution

The fourth proportional to 3,660.42, 5,491.46 and 1,711.56 is: 2,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.42 : 5,491.46 = 1,711.56 : x
  2. Step 2: Convert to fraction form
    3,660.42/5,491.46 = 1,711.56/x
  3. Step 3: Cross multiply
    3,660.42x = 5,491.46 × 1,711.56
  4. Step 4: Simplify right side
    3,660.42x = 9,398,963.28
  5. Step 5: Solve for x
    x = 9,398,963.28/3,660.42
  6. Step 6: Final answer
    x = 2,567.73

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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.