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Finding the Fourth Proportional to 3,641.40, 5,452.38 and 3,204

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Solution

The fourth proportional to 3,641.40, 5,452.38 and 3,204 is: 4,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.40 : 5,452.38 = 3,204 : x
  2. Step 2: Convert to fraction form
    3,641.40/5,452.38 = 3,204/x
  3. Step 3: Cross multiply
    3,641.40x = 5,452.38 × 3,204
  4. Step 4: Simplify right side
    3,641.40x = 17,469,425.52
  5. Step 5: Solve for x
    x = 17,469,425.52/3,641.40
  6. Step 6: Final answer
    x = 4,797.45

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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.