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Finding the Fourth Proportional to 3,796.01, 5,694.29 and 1,198.88

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Solution

The fourth proportional to 3,796.01, 5,694.29 and 1,198.88 is: 1,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.01 : 5,694.29 = 1,198.88 : x
  2. Step 2: Convert to fraction form
    3,796.01/5,694.29 = 1,198.88/x
  3. Step 3: Cross multiply
    3,796.01x = 5,694.29 × 1,198.88
  4. Step 4: Simplify right side
    3,796.01x = 6,826,735.93
  5. Step 5: Solve for x
    x = 6,826,735.93/3,796.01
  6. Step 6: Final answer
    x = 1,798.40

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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.