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Finding the Fourth Proportional to 3,971.43, 5,958.14 and 1,198.04

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Solution

The fourth proportional to 3,971.43, 5,958.14 and 1,198.04 is: 1,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.43 : 5,958.14 = 1,198.04 : x
  2. Step 2: Convert to fraction form
    3,971.43/5,958.14 = 1,198.04/x
  3. Step 3: Cross multiply
    3,971.43x = 5,958.14 × 1,198.04
  4. Step 4: Simplify right side
    3,971.43x = 7,138,054.26
  5. Step 5: Solve for x
    x = 7,138,054.26/3,971.43
  6. Step 6: Final answer
    x = 1,797.35

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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.