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Finding the Fourth Proportional to 3,422.71, 5,129.20 and 1,692.55

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Solution

The fourth proportional to 3,422.71, 5,129.20 and 1,692.55 is: 2,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.71 : 5,129.20 = 1,692.55 : x
  2. Step 2: Convert to fraction form
    3,422.71/5,129.20 = 1,692.55/x
  3. Step 3: Cross multiply
    3,422.71x = 5,129.20 × 1,692.55
  4. Step 4: Simplify right side
    3,422.71x = 8,681,427.46
  5. Step 5: Solve for x
    x = 8,681,427.46/3,422.71
  6. Step 6: Final answer
    x = 2,536.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.