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Finding the Fourth Proportional to 3,425.68, 5,137.71 and 1,344.97

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Solution

The fourth proportional to 3,425.68, 5,137.71 and 1,344.97 is: 2,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.68 : 5,137.71 = 1,344.97 : x
  2. Step 2: Convert to fraction form
    3,425.68/5,137.71 = 1,344.97/x
  3. Step 3: Cross multiply
    3,425.68x = 5,137.71 × 1,344.97
  4. Step 4: Simplify right side
    3,425.68x = 6,910,065.82
  5. Step 5: Solve for x
    x = 6,910,065.82/3,425.68
  6. Step 6: Final answer
    x = 2,017.14

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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.