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Finding the Fourth Proportional to 5,067.40, 6,991.77 and 2,971.12

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Solution

The fourth proportional to 5,067.40, 6,991.77 and 2,971.12 is: 4,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.40 : 6,991.77 = 2,971.12 : x
  2. Step 2: Convert to fraction form
    5,067.40/6,991.77 = 2,971.12/x
  3. Step 3: Cross multiply
    5,067.40x = 6,991.77 × 2,971.12
  4. Step 4: Simplify right side
    5,067.40x = 20,773,387.68
  5. Step 5: Solve for x
    x = 20,773,387.68/5,067.40
  6. Step 6: Final answer
    x = 4,099.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.