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Finding the Fourth Proportional to 3,424.62, 5,129.64 and 1,960.14

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Solution

The fourth proportional to 3,424.62, 5,129.64 and 1,960.14 is: 2,936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.62 : 5,129.64 = 1,960.14 : x
  2. Step 2: Convert to fraction form
    3,424.62/5,129.64 = 1,960.14/x
  3. Step 3: Cross multiply
    3,424.62x = 5,129.64 × 1,960.14
  4. Step 4: Simplify right side
    3,424.62x = 10,054,812.55
  5. Step 5: Solve for x
    x = 10,054,812.55/3,424.62
  6. Step 6: Final answer
    x = 2,936.04

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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.