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Finding the Fourth Proportional to 3,972.67, 5,956.68 and 1,198.51

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Solution

The fourth proportional to 3,972.67, 5,956.68 and 1,198.51 is: 1,797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.67 : 5,956.68 = 1,198.51 : x
  2. Step 2: Convert to fraction form
    3,972.67/5,956.68 = 1,198.51/x
  3. Step 3: Cross multiply
    3,972.67x = 5,956.68 × 1,198.51
  4. Step 4: Simplify right side
    3,972.67x = 7,139,130.15
  5. Step 5: Solve for x
    x = 7,139,130.15/3,972.67
  6. Step 6: Final answer
    x = 1,797.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.