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Finding the Fourth Proportional to 3,692.10, 5,543.82 and 2,314.20

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Solution

The fourth proportional to 3,692.10, 5,543.82 and 2,314.20 is: 3,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.10 : 5,543.82 = 2,314.20 : x
  2. Step 2: Convert to fraction form
    3,692.10/5,543.82 = 2,314.20/x
  3. Step 3: Cross multiply
    3,692.10x = 5,543.82 × 2,314.20
  4. Step 4: Simplify right side
    3,692.10x = 12,829,508.24
  5. Step 5: Solve for x
    x = 12,829,508.24/3,692.10
  6. Step 6: Final answer
    x = 3,474.85

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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.