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Finding the Fourth Proportional to 3,983, 5,496.54 and 2,327

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Solution

The fourth proportional to 3,983, 5,496.54 and 2,327 is: 3,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983 : 5,496.54 = 2,327 : x
  2. Step 2: Convert to fraction form
    3,983/5,496.54 = 2,327/x
  3. Step 3: Cross multiply
    3,983x = 5,496.54 × 2,327
  4. Step 4: Simplify right side
    3,983x = 12,790,448.58
  5. Step 5: Solve for x
    x = 12,790,448.58/3,983
  6. Step 6: Final answer
    x = 3,211.26

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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.