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Finding the Fourth Proportional to 3,446.64, 5,167.44 and 2,215.44

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Solution

The fourth proportional to 3,446.64, 5,167.44 and 2,215.44 is: 3,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.64 : 5,167.44 = 2,215.44 : x
  2. Step 2: Convert to fraction form
    3,446.64/5,167.44 = 2,215.44/x
  3. Step 3: Cross multiply
    3,446.64x = 5,167.44 × 2,215.44
  4. Step 4: Simplify right side
    3,446.64x = 11,448,153.27
  5. Step 5: Solve for x
    x = 11,448,153.27/3,446.64
  6. Step 6: Final answer
    x = 3,321.54

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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.