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Finding the Fourth Proportional to 3,424.62, 5,137.07 and 1,344.44

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Solution

The fourth proportional to 3,424.62, 5,137.07 and 1,344.44 is: 2,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.62 : 5,137.07 = 1,344.44 : x
  2. Step 2: Convert to fraction form
    3,424.62/5,137.07 = 1,344.44/x
  3. Step 3: Cross multiply
    3,424.62x = 5,137.07 × 1,344.44
  4. Step 4: Simplify right side
    3,424.62x = 6,906,482.39
  5. Step 5: Solve for x
    x = 6,906,482.39/3,424.62
  6. Step 6: Final answer
    x = 2,016.71

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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.