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Finding the Fourth Proportional to 3,697.25, 5,546.54 and 2,234.66

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Solution

The fourth proportional to 3,697.25, 5,546.54 and 2,234.66 is: 3,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.25 : 5,546.54 = 2,234.66 : x
  2. Step 2: Convert to fraction form
    3,697.25/5,546.54 = 2,234.66/x
  3. Step 3: Cross multiply
    3,697.25x = 5,546.54 × 2,234.66
  4. Step 4: Simplify right side
    3,697.25x = 12,394,608.93
  5. Step 5: Solve for x
    x = 12,394,608.93/3,697.25
  6. Step 6: Final answer
    x = 3,352.39

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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.