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Finding the Fourth Proportional to 4,157.87, 6,222.20 and 3,227.49

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Solution

The fourth proportional to 4,157.87, 6,222.20 and 3,227.49 is: 4,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.87 : 6,222.20 = 3,227.49 : x
  2. Step 2: Convert to fraction form
    4,157.87/6,222.20 = 3,227.49/x
  3. Step 3: Cross multiply
    4,157.87x = 6,222.20 × 3,227.49
  4. Step 4: Simplify right side
    4,157.87x = 20,082,072.14
  5. Step 5: Solve for x
    x = 20,082,072.14/4,157.87
  6. Step 6: Final answer
    x = 4,829.90

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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.