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Finding the Fourth Proportional to 4,546.87, 6,817.31 and 2,202.22

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Solution

The fourth proportional to 4,546.87, 6,817.31 and 2,202.22 is: 3,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.87 : 6,817.31 = 2,202.22 : x
  2. Step 2: Convert to fraction form
    4,546.87/6,817.31 = 2,202.22/x
  3. Step 3: Cross multiply
    4,546.87x = 6,817.31 × 2,202.22
  4. Step 4: Simplify right side
    4,546.87x = 15,013,234.58
  5. Step 5: Solve for x
    x = 15,013,234.58/4,546.87
  6. Step 6: Final answer
    x = 3,301.89

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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.