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Finding the Fourth Proportional to 5,100, 7,650.36 and 2,022

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Solution

The fourth proportional to 5,100, 7,650.36 and 2,022 is: 3,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100 : 7,650.36 = 2,022 : x
  2. Step 2: Convert to fraction form
    5,100/7,650.36 = 2,022/x
  3. Step 3: Cross multiply
    5,100x = 7,650.36 × 2,022
  4. Step 4: Simplify right side
    5,100x = 15,469,027.92
  5. Step 5: Solve for x
    x = 15,469,027.92/5,100
  6. Step 6: Final answer
    x = 3,033.14

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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.