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Finding the Fourth Proportional to 3,991.14, 5,967 and 3,381.66

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Solution

The fourth proportional to 3,991.14, 5,967 and 3,381.66 is: 5,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.14 : 5,967 = 3,381.66 : x
  2. Step 2: Convert to fraction form
    3,991.14/5,967 = 3,381.66/x
  3. Step 3: Cross multiply
    3,991.14x = 5,967 × 3,381.66
  4. Step 4: Simplify right side
    3,991.14x = 20,178,365.22
  5. Step 5: Solve for x
    x = 20,178,365.22/3,991.14
  6. Step 6: Final answer
    x = 5,055.79

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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.