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Finding the Fourth Proportional to 3,991.26, 5,987.54 and 1,180.38

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Solution

The fourth proportional to 3,991.26, 5,987.54 and 1,180.38 is: 1,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.26 : 5,987.54 = 1,180.38 : x
  2. Step 2: Convert to fraction form
    3,991.26/5,987.54 = 1,180.38/x
  3. Step 3: Cross multiply
    3,991.26x = 5,987.54 × 1,180.38
  4. Step 4: Simplify right side
    3,991.26x = 7,067,566.56
  5. Step 5: Solve for x
    x = 7,067,566.56/3,991.26
  6. Step 6: Final answer
    x = 1,770.76

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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.