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Finding the Fourth Proportional to 3,638.88, 5,460.20 and 1,692.48

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Solution

The fourth proportional to 3,638.88, 5,460.20 and 1,692.48 is: 2,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.88 : 5,460.20 = 1,692.48 : x
  2. Step 2: Convert to fraction form
    3,638.88/5,460.20 = 1,692.48/x
  3. Step 3: Cross multiply
    3,638.88x = 5,460.20 × 1,692.48
  4. Step 4: Simplify right side
    3,638.88x = 9,241,279.30
  5. Step 5: Solve for x
    x = 9,241,279.30/3,638.88
  6. Step 6: Final answer
    x = 2,539.59

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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.