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Finding the Fourth Proportional to 5,692.87, 8,540.39 and 3,230.47

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Solution

The fourth proportional to 5,692.87, 8,540.39 and 3,230.47 is: 4,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.87 : 8,540.39 = 3,230.47 : x
  2. Step 2: Convert to fraction form
    5,692.87/8,540.39 = 3,230.47/x
  3. Step 3: Cross multiply
    5,692.87x = 8,540.39 × 3,230.47
  4. Step 4: Simplify right side
    5,692.87x = 27,589,473.68
  5. Step 5: Solve for x
    x = 27,589,473.68/5,692.87
  6. Step 6: Final answer
    x = 4,846.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.