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Finding the Fourth Proportional to 3,972.68, 5,960.32 and 1,199.45

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Solution

The fourth proportional to 3,972.68, 5,960.32 and 1,199.45 is: 1,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.68 : 5,960.32 = 1,199.45 : x
  2. Step 2: Convert to fraction form
    3,972.68/5,960.32 = 1,199.45/x
  3. Step 3: Cross multiply
    3,972.68x = 5,960.32 × 1,199.45
  4. Step 4: Simplify right side
    3,972.68x = 7,149,105.82
  5. Step 5: Solve for x
    x = 7,149,105.82/3,972.68
  6. Step 6: Final answer
    x = 1,799.57

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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.