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Finding the Fourth Proportional to 3,540.34, 5,309.82 and 3,364.73

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Solution

The fourth proportional to 3,540.34, 5,309.82 and 3,364.73 is: 5,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.34 : 5,309.82 = 3,364.73 : x
  2. Step 2: Convert to fraction form
    3,540.34/5,309.82 = 3,364.73/x
  3. Step 3: Cross multiply
    3,540.34x = 5,309.82 × 3,364.73
  4. Step 4: Simplify right side
    3,540.34x = 17,866,110.65
  5. Step 5: Solve for x
    x = 17,866,110.65/3,540.34
  6. Step 6: Final answer
    x = 5,046.44

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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.