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Finding the Fourth Proportional to 3,449.64, 5,149.44 and 3,192.66

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Solution

The fourth proportional to 3,449.64, 5,149.44 and 3,192.66 is: 4,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.64 : 5,149.44 = 3,192.66 : x
  2. Step 2: Convert to fraction form
    3,449.64/5,149.44 = 3,192.66/x
  3. Step 3: Cross multiply
    3,449.64x = 5,149.44 × 3,192.66
  4. Step 4: Simplify right side
    3,449.64x = 16,440,411.11
  5. Step 5: Solve for x
    x = 16,440,411.11/3,449.64
  6. Step 6: Final answer
    x = 4,765.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.