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Finding the Fourth Proportional to 3,660.55, 5,491.63 and 1,711.69

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Solution

The fourth proportional to 3,660.55, 5,491.63 and 1,711.69 is: 2,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.55 : 5,491.63 = 1,711.69 : x
  2. Step 2: Convert to fraction form
    3,660.55/5,491.63 = 1,711.69/x
  3. Step 3: Cross multiply
    3,660.55x = 5,491.63 × 1,711.69
  4. Step 4: Simplify right side
    3,660.55x = 9,399,956.57
  5. Step 5: Solve for x
    x = 9,399,956.57/3,660.55
  6. Step 6: Final answer
    x = 2,567.91

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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.