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Finding the Fourth Proportional to 3,449.64, 5,171.94 and 2,218.44

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Solution

The fourth proportional to 3,449.64, 5,171.94 and 2,218.44 is: 3,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.64 : 5,171.94 = 2,218.44 : x
  2. Step 2: Convert to fraction form
    3,449.64/5,171.94 = 2,218.44/x
  3. Step 3: Cross multiply
    3,449.64x = 5,171.94 × 2,218.44
  4. Step 4: Simplify right side
    3,449.64x = 11,473,638.57
  5. Step 5: Solve for x
    x = 11,473,638.57/3,449.64
  6. Step 6: Final answer
    x = 3,326.04

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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.