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Finding the Fourth Proportional to 3,192.16, 4,793.10 and 2,647.84

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Solution

The fourth proportional to 3,192.16, 4,793.10 and 2,647.84 is: 3,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.16 : 4,793.10 = 2,647.84 : x
  2. Step 2: Convert to fraction form
    3,192.16/4,793.10 = 2,647.84/x
  3. Step 3: Cross multiply
    3,192.16x = 4,793.10 × 2,647.84
  4. Step 4: Simplify right side
    3,192.16x = 12,691,361.90
  5. Step 5: Solve for x
    x = 12,691,361.90/3,192.16
  6. Step 6: Final answer
    x = 3,975.79

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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.