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Finding the Fourth Proportional to 5,692.20, 8,539.20 and 2,182.07

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Solution

The fourth proportional to 5,692.20, 8,539.20 and 2,182.07 is: 3,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.20 : 8,539.20 = 2,182.07 : x
  2. Step 2: Convert to fraction form
    5,692.20/8,539.20 = 2,182.07/x
  3. Step 3: Cross multiply
    5,692.20x = 8,539.20 × 2,182.07
  4. Step 4: Simplify right side
    5,692.20x = 18,633,089.45
  5. Step 5: Solve for x
    x = 18,633,089.45/5,692.20
  6. Step 6: Final answer
    x = 3,273.44

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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.