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Finding the Fourth Proportional to 3,692.50, 5,089.97 and 2,431.38

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Solution

The fourth proportional to 3,692.50, 5,089.97 and 2,431.38 is: 3,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.50 : 5,089.97 = 2,431.38 : x
  2. Step 2: Convert to fraction form
    3,692.50/5,089.97 = 2,431.38/x
  3. Step 3: Cross multiply
    3,692.50x = 5,089.97 × 2,431.38
  4. Step 4: Simplify right side
    3,692.50x = 12,375,651.26
  5. Step 5: Solve for x
    x = 12,375,651.26/3,692.50
  6. Step 6: Final answer
    x = 3,351.56

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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.