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Finding the Fourth Proportional to 5,524, 7,616.64 and 3,949.44

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Solution

The fourth proportional to 5,524, 7,616.64 and 3,949.44 is: 5,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524 : 7,616.64 = 3,949.44 : x
  2. Step 2: Convert to fraction form
    5,524/7,616.64 = 3,949.44/x
  3. Step 3: Cross multiply
    5,524x = 7,616.64 × 3,949.44
  4. Step 4: Simplify right side
    5,524x = 30,081,462.68
  5. Step 5: Solve for x
    x = 30,081,462.68/5,524
  6. Step 6: Final answer
    x = 5,445.59

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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.