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Finding the Fourth Proportional to 3,972.03, 5,956.11 and 1,198.18

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Solution

The fourth proportional to 3,972.03, 5,956.11 and 1,198.18 is: 1,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.03 : 5,956.11 = 1,198.18 : x
  2. Step 2: Convert to fraction form
    3,972.03/5,956.11 = 1,198.18/x
  3. Step 3: Cross multiply
    3,972.03x = 5,956.11 × 1,198.18
  4. Step 4: Simplify right side
    3,972.03x = 7,136,491.88
  5. Step 5: Solve for x
    x = 7,136,491.88/3,972.03
  6. Step 6: Final answer
    x = 1,796.69

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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.