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Finding the Fourth Proportional to 5,574.29, 7,692.44 and 3,216.38

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Solution

The fourth proportional to 5,574.29, 7,692.44 and 3,216.38 is: 4,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.29 : 7,692.44 = 3,216.38 : x
  2. Step 2: Convert to fraction form
    5,574.29/7,692.44 = 3,216.38/x
  3. Step 3: Cross multiply
    5,574.29x = 7,692.44 × 3,216.38
  4. Step 4: Simplify right side
    5,574.29x = 24,741,755.62
  5. Step 5: Solve for x
    x = 24,741,755.62/5,574.29
  6. Step 6: Final answer
    x = 4,438.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.