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Finding the Fourth Proportional to 3,982.92, 5,495.82 and 2,304

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Solution

The fourth proportional to 3,982.92, 5,495.82 and 2,304 is: 3,179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.92 : 5,495.82 = 2,304 : x
  2. Step 2: Convert to fraction form
    3,982.92/5,495.82 = 2,304/x
  3. Step 3: Cross multiply
    3,982.92x = 5,495.82 × 2,304
  4. Step 4: Simplify right side
    3,982.92x = 12,662,369.28
  5. Step 5: Solve for x
    x = 12,662,369.28/3,982.92
  6. Step 6: Final answer
    x = 3,179.17

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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.