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Finding the Fourth Proportional to 3,469.52, 5,199.80 and 3,022.97

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Solution

The fourth proportional to 3,469.52, 5,199.80 and 3,022.97 is: 4,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.52 : 5,199.80 = 3,022.97 : x
  2. Step 2: Convert to fraction form
    3,469.52/5,199.80 = 3,022.97/x
  3. Step 3: Cross multiply
    3,469.52x = 5,199.80 × 3,022.97
  4. Step 4: Simplify right side
    3,469.52x = 15,718,839.41
  5. Step 5: Solve for x
    x = 15,718,839.41/3,469.52
  6. Step 6: Final answer
    x = 4,530.56

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Why These Related Problems?

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