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Finding the Fourth Proportional to 5,067.96, 6,997.74 and 3,887.16

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Solution

The fourth proportional to 5,067.96, 6,997.74 and 3,887.16 is: 5,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.96 : 6,997.74 = 3,887.16 : x
  2. Step 2: Convert to fraction form
    5,067.96/6,997.74 = 3,887.16/x
  3. Step 3: Cross multiply
    5,067.96x = 6,997.74 × 3,887.16
  4. Step 4: Simplify right side
    5,067.96x = 27,201,335.02
  5. Step 5: Solve for x
    x = 27,201,335.02/5,067.96
  6. Step 6: Final answer
    x = 5,367.31

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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.