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Finding the Fourth Proportional to 5,692.15, 8,542.09 and 3,494.17

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Solution

The fourth proportional to 5,692.15, 8,542.09 and 3,494.17 is: 5,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.15 : 8,542.09 = 3,494.17 : x
  2. Step 2: Convert to fraction form
    5,692.15/8,542.09 = 3,494.17/x
  3. Step 3: Cross multiply
    5,692.15x = 8,542.09 × 3,494.17
  4. Step 4: Simplify right side
    5,692.15x = 29,847,514.62
  5. Step 5: Solve for x
    x = 29,847,514.62/5,692.15
  6. Step 6: Final answer
    x = 5,243.63

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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.