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Finding the Fourth Proportional to 3,954.52, 5,452.16 and 3,243.80

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Solution

The fourth proportional to 3,954.52, 5,452.16 and 3,243.80 is: 4,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.52 : 5,452.16 = 3,243.80 : x
  2. Step 2: Convert to fraction form
    3,954.52/5,452.16 = 3,243.80/x
  3. Step 3: Cross multiply
    3,954.52x = 5,452.16 × 3,243.80
  4. Step 4: Simplify right side
    3,954.52x = 17,685,716.61
  5. Step 5: Solve for x
    x = 17,685,716.61/3,954.52
  6. Step 6: Final answer
    x = 4,472.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.