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Finding the Fourth Proportional to 5,469.54, 8,204.80 and 2,349.70

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Solution

The fourth proportional to 5,469.54, 8,204.80 and 2,349.70 is: 3,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.54 : 8,204.80 = 2,349.70 : x
  2. Step 2: Convert to fraction form
    5,469.54/8,204.80 = 2,349.70/x
  3. Step 3: Cross multiply
    5,469.54x = 8,204.80 × 2,349.70
  4. Step 4: Simplify right side
    5,469.54x = 19,278,818.56
  5. Step 5: Solve for x
    x = 19,278,818.56/5,469.54
  6. Step 6: Final answer
    x = 3,524.76

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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.