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Finding the Fourth Proportional to 5,446.96, 8,171.46 and 2,326.96

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Solution

The fourth proportional to 5,446.96, 8,171.46 and 2,326.96 is: 3,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.96 : 8,171.46 = 2,326.96 : x
  2. Step 2: Convert to fraction form
    5,446.96/8,171.46 = 2,326.96/x
  3. Step 3: Cross multiply
    5,446.96x = 8,171.46 × 2,326.96
  4. Step 4: Simplify right side
    5,446.96x = 19,014,660.56
  5. Step 5: Solve for x
    x = 19,014,660.56/5,446.96
  6. Step 6: Final answer
    x = 3,490.88

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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.