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Finding the Fourth Proportional to 5,963.12, 8,227.78 and 3,605.21

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Solution

The fourth proportional to 5,963.12, 8,227.78 and 3,605.21 is: 4,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.12 : 8,227.78 = 3,605.21 : x
  2. Step 2: Convert to fraction form
    5,963.12/8,227.78 = 3,605.21/x
  3. Step 3: Cross multiply
    5,963.12x = 8,227.78 × 3,605.21
  4. Step 4: Simplify right side
    5,963.12x = 29,662,855.44
  5. Step 5: Solve for x
    x = 29,662,855.44/5,963.12
  6. Step 6: Final answer
    x = 4,974.39

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Why These Related Problems?

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