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Finding the Fourth Proportional to 3,447.64, 5,168.94 and 2,216.44

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Solution

The fourth proportional to 3,447.64, 5,168.94 and 2,216.44 is: 3,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.64 : 5,168.94 = 2,216.44 : x
  2. Step 2: Convert to fraction form
    3,447.64/5,168.94 = 2,216.44/x
  3. Step 3: Cross multiply
    3,447.64x = 5,168.94 × 2,216.44
  4. Step 4: Simplify right side
    3,447.64x = 11,456,645.37
  5. Step 5: Solve for x
    x = 11,456,645.37/3,447.64
  6. Step 6: Final answer
    x = 3,323.04

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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.