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Finding the Fourth Proportional to 3,425.16, 5,137.71 and 1,963.26

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Solution

The fourth proportional to 3,425.16, 5,137.71 and 1,963.26 is: 2,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.16 : 5,137.71 = 1,963.26 : x
  2. Step 2: Convert to fraction form
    3,425.16/5,137.71 = 1,963.26/x
  3. Step 3: Cross multiply
    3,425.16x = 5,137.71 × 1,963.26
  4. Step 4: Simplify right side
    3,425.16x = 10,086,660.53
  5. Step 5: Solve for x
    x = 10,086,660.53/3,425.16
  6. Step 6: Final answer
    x = 2,944.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.