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Finding the Fourth Proportional to 3,469.28, 5,203.91 and 872.22

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Solution

The fourth proportional to 3,469.28, 5,203.91 and 872.22 is: 1,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.28 : 5,203.91 = 872.22 : x
  2. Step 2: Convert to fraction form
    3,469.28/5,203.91 = 872.22/x
  3. Step 3: Cross multiply
    3,469.28x = 5,203.91 × 872.22
  4. Step 4: Simplify right side
    3,469.28x = 4,538,954.38
  5. Step 5: Solve for x
    x = 4,538,954.38/3,469.28
  6. Step 6: Final answer
    x = 1,308.33

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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.