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Finding the Fourth Proportional to 3,971.34, 5,958.03 and 1,198.12

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Solution

The fourth proportional to 3,971.34, 5,958.03 and 1,198.12 is: 1,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.34 : 5,958.03 = 1,198.12 : x
  2. Step 2: Convert to fraction form
    3,971.34/5,958.03 = 1,198.12/x
  3. Step 3: Cross multiply
    3,971.34x = 5,958.03 × 1,198.12
  4. Step 4: Simplify right side
    3,971.34x = 7,138,434.90
  5. Step 5: Solve for x
    x = 7,138,434.90/3,971.34
  6. Step 6: Final answer
    x = 1,797.49

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1.5x scale

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.