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Finding the Fourth Proportional to 5,474.89, 8,212.79 and 2,354.97

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Solution

The fourth proportional to 5,474.89, 8,212.79 and 2,354.97 is: 3,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.89 : 8,212.79 = 2,354.97 : x
  2. Step 2: Convert to fraction form
    5,474.89/8,212.79 = 2,354.97/x
  3. Step 3: Cross multiply
    5,474.89x = 8,212.79 × 2,354.97
  4. Step 4: Simplify right side
    5,474.89x = 19,340,910.75
  5. Step 5: Solve for x
    x = 19,340,910.75/5,474.89
  6. Step 6: Final answer
    x = 3,532.66

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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.