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Finding the Fourth Proportional to 3,963.45, 5,945.16 and 3,222.18

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Solution

The fourth proportional to 3,963.45, 5,945.16 and 3,222.18 is: 4,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.45 : 5,945.16 = 3,222.18 : x
  2. Step 2: Convert to fraction form
    3,963.45/5,945.16 = 3,222.18/x
  3. Step 3: Cross multiply
    3,963.45x = 5,945.16 × 3,222.18
  4. Step 4: Simplify right side
    3,963.45x = 19,156,387.73
  5. Step 5: Solve for x
    x = 19,156,387.73/3,963.45
  6. Step 6: Final answer
    x = 4,833.26

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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.