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Finding the Fourth Proportional to 5,692.67, 8,534.96 and 2,179.71

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Solution

The fourth proportional to 5,692.67, 8,534.96 and 2,179.71 is: 3,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.67 : 8,534.96 = 2,179.71 : x
  2. Step 2: Convert to fraction form
    5,692.67/8,534.96 = 2,179.71/x
  3. Step 3: Cross multiply
    5,692.67x = 8,534.96 × 2,179.71
  4. Step 4: Simplify right side
    5,692.67x = 18,603,743.11
  5. Step 5: Solve for x
    x = 18,603,743.11/5,692.67
  6. Step 6: Final answer
    x = 3,268.02

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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.