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Finding the Fourth Proportional to 3,832.97, 5,748.03 and 1,367.15

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Solution

The fourth proportional to 3,832.97, 5,748.03 and 1,367.15 is: 2,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.97 : 5,748.03 = 1,367.15 : x
  2. Step 2: Convert to fraction form
    3,832.97/5,748.03 = 1,367.15/x
  3. Step 3: Cross multiply
    3,832.97x = 5,748.03 × 1,367.15
  4. Step 4: Simplify right side
    3,832.97x = 7,858,390.47
  5. Step 5: Solve for x
    x = 7,858,390.47/3,832.97
  6. Step 6: Final answer
    x = 2,050.21

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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.