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Finding the Fourth Proportional to 3,375.25, 5,065.49 and 2,342.50

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Solution

The fourth proportional to 3,375.25, 5,065.49 and 2,342.50 is: 3,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.25 : 5,065.49 = 2,342.50 : x
  2. Step 2: Convert to fraction form
    3,375.25/5,065.49 = 2,342.50/x
  3. Step 3: Cross multiply
    3,375.25x = 5,065.49 × 2,342.50
  4. Step 4: Simplify right side
    3,375.25x = 11,865,910.33
  5. Step 5: Solve for x
    x = 11,865,910.33/3,375.25
  6. Step 6: Final answer
    x = 3,515.56

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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.