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Finding the Fourth Proportional to 4,616.82, 6,918.55 and 3,144.24

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Solution

The fourth proportional to 4,616.82, 6,918.55 and 3,144.24 is: 4,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.82 : 6,918.55 = 3,144.24 : x
  2. Step 2: Convert to fraction form
    4,616.82/6,918.55 = 3,144.24/x
  3. Step 3: Cross multiply
    4,616.82x = 6,918.55 × 3,144.24
  4. Step 4: Simplify right side
    4,616.82x = 21,753,573.79
  5. Step 5: Solve for x
    x = 21,753,573.79/4,616.82
  6. Step 6: Final answer
    x = 4,711.81

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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.