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Finding the Fourth Proportional to 3,660.69, 5,491.73 and 1,469.59

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Solution

The fourth proportional to 3,660.69, 5,491.73 and 1,469.59 is: 2,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.69 : 5,491.73 = 1,469.59 : x
  2. Step 2: Convert to fraction form
    3,660.69/5,491.73 = 1,469.59/x
  3. Step 3: Cross multiply
    3,660.69x = 5,491.73 × 1,469.59
  4. Step 4: Simplify right side
    3,660.69x = 8,070,584.14
  5. Step 5: Solve for x
    x = 8,070,584.14/3,660.69
  6. Step 6: Final answer
    x = 2,204.66

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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.