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Finding the Fourth Proportional to 5,324.14, 7,983.81 and 1,626.82

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Solution

The fourth proportional to 5,324.14, 7,983.81 and 1,626.82 is: 2,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.14 : 7,983.81 = 1,626.82 : x
  2. Step 2: Convert to fraction form
    5,324.14/7,983.81 = 1,626.82/x
  3. Step 3: Cross multiply
    5,324.14x = 7,983.81 × 1,626.82
  4. Step 4: Simplify right side
    5,324.14x = 12,988,221.78
  5. Step 5: Solve for x
    x = 12,988,221.78/5,324.14
  6. Step 6: Final answer
    x = 2,439.50

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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.