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Finding the Fourth Proportional to 3,836.25, 5,754.38 and 1,100.25

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Solution

The fourth proportional to 3,836.25, 5,754.38 and 1,100.25 is: 1,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.25 : 5,754.38 = 1,100.25 : x
  2. Step 2: Convert to fraction form
    3,836.25/5,754.38 = 1,100.25/x
  3. Step 3: Cross multiply
    3,836.25x = 5,754.38 × 1,100.25
  4. Step 4: Simplify right side
    3,836.25x = 6,331,251.09
  5. Step 5: Solve for x
    x = 6,331,251.09/3,836.25
  6. Step 6: Final answer
    x = 1,650.38

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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.