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Finding the Fourth Proportional to 5,692.08, 8,538.12 and 2,183.70

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Solution

The fourth proportional to 5,692.08, 8,538.12 and 2,183.70 is: 3,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.08 : 8,538.12 = 2,183.70 : x
  2. Step 2: Convert to fraction form
    5,692.08/8,538.12 = 2,183.70/x
  3. Step 3: Cross multiply
    5,692.08x = 8,538.12 × 2,183.70
  4. Step 4: Simplify right side
    5,692.08x = 18,644,692.64
  5. Step 5: Solve for x
    x = 18,644,692.64/5,692.08
  6. Step 6: Final answer
    x = 3,275.55

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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.