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Finding the Fourth Proportional to 3,687.68, 5,530.56 and 2,226.08

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Solution

The fourth proportional to 3,687.68, 5,530.56 and 2,226.08 is: 3,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.68 : 5,530.56 = 2,226.08 : x
  2. Step 2: Convert to fraction form
    3,687.68/5,530.56 = 2,226.08/x
  3. Step 3: Cross multiply
    3,687.68x = 5,530.56 × 2,226.08
  4. Step 4: Simplify right side
    3,687.68x = 12,311,469.00
  5. Step 5: Solve for x
    x = 12,311,469.00/3,687.68
  6. Step 6: Final answer
    x = 3,338.54

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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.