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Finding the Fourth Proportional to 4,122.50, 5,687.09 and 3,963.40

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Solution

The fourth proportional to 4,122.50, 5,687.09 and 3,963.40 is: 5,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.50 : 5,687.09 = 3,963.40 : x
  2. Step 2: Convert to fraction form
    4,122.50/5,687.09 = 3,963.40/x
  3. Step 3: Cross multiply
    4,122.50x = 5,687.09 × 3,963.40
  4. Step 4: Simplify right side
    4,122.50x = 22,540,193.33
  5. Step 5: Solve for x
    x = 22,540,193.33/4,122.50
  6. Step 6: Final answer
    x = 5,467.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.