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Finding the Fourth Proportional to 3,969.52, 5,954.28 and 2,234.50

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Solution

The fourth proportional to 3,969.52, 5,954.28 and 2,234.50 is: 3,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.52 : 5,954.28 = 2,234.50 : x
  2. Step 2: Convert to fraction form
    3,969.52/5,954.28 = 2,234.50/x
  3. Step 3: Cross multiply
    3,969.52x = 5,954.28 × 2,234.50
  4. Step 4: Simplify right side
    3,969.52x = 13,304,838.66
  5. Step 5: Solve for x
    x = 13,304,838.66/3,969.52
  6. Step 6: Final answer
    x = 3,351.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.