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Finding the Fourth Proportional to 3,535.50, 5,304.24 and 2,131.50

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Solution

The fourth proportional to 3,535.50, 5,304.24 and 2,131.50 is: 3,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.50 : 5,304.24 = 2,131.50 : x
  2. Step 2: Convert to fraction form
    3,535.50/5,304.24 = 2,131.50/x
  3. Step 3: Cross multiply
    3,535.50x = 5,304.24 × 2,131.50
  4. Step 4: Simplify right side
    3,535.50x = 11,305,987.56
  5. Step 5: Solve for x
    x = 11,305,987.56/3,535.50
  6. Step 6: Final answer
    x = 3,197.85

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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.