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Finding the Fourth Proportional to 3,485.62, 5,231.16 and 2,252.70

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Solution

The fourth proportional to 3,485.62, 5,231.16 and 2,252.70 is: 3,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.62 : 5,231.16 = 2,252.70 : x
  2. Step 2: Convert to fraction form
    3,485.62/5,231.16 = 2,252.70/x
  3. Step 3: Cross multiply
    3,485.62x = 5,231.16 × 2,252.70
  4. Step 4: Simplify right side
    3,485.62x = 11,784,234.13
  5. Step 5: Solve for x
    x = 11,784,234.13/3,485.62
  6. Step 6: Final answer
    x = 3,380.81

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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.