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Finding the Fourth Proportional to 5,692.83, 8,539.22 and 2,649.61

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Solution

The fourth proportional to 5,692.83, 8,539.22 and 2,649.61 is: 3,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.83 : 8,539.22 = 2,649.61 : x
  2. Step 2: Convert to fraction form
    5,692.83/8,539.22 = 2,649.61/x
  3. Step 3: Cross multiply
    5,692.83x = 8,539.22 × 2,649.61
  4. Step 4: Simplify right side
    5,692.83x = 22,625,620.00
  5. Step 5: Solve for x
    x = 22,625,620.00/5,692.83
  6. Step 6: Final answer
    x = 3,974.41

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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.