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Finding the Fourth Proportional to 3,692.33, 5,092.87 and 2,199.09

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Solution

The fourth proportional to 3,692.33, 5,092.87 and 2,199.09 is: 3,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.33 : 5,092.87 = 2,199.09 : x
  2. Step 2: Convert to fraction form
    3,692.33/5,092.87 = 2,199.09/x
  3. Step 3: Cross multiply
    3,692.33x = 5,092.87 × 2,199.09
  4. Step 4: Simplify right side
    3,692.33x = 11,199,679.49
  5. Step 5: Solve for x
    x = 11,199,679.49/3,692.33
  6. Step 6: Final answer
    x = 3,033.23

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