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Finding the Fourth Proportional to 3,425.84, 5,137.88 and 960.02

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Solution

The fourth proportional to 3,425.84, 5,137.88 and 960.02 is: 1,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.84 : 5,137.88 = 960.02 : x
  2. Step 2: Convert to fraction form
    3,425.84/5,137.88 = 960.02/x
  3. Step 3: Cross multiply
    3,425.84x = 5,137.88 × 960.02
  4. Step 4: Simplify right side
    3,425.84x = 4,932,467.56
  5. Step 5: Solve for x
    x = 4,932,467.56/3,425.84
  6. Step 6: Final answer
    x = 1,439.78

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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.