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Finding the Fourth Proportional to 5,057.22, 6,976.96 and 3,067.05

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Solution

The fourth proportional to 5,057.22, 6,976.96 and 3,067.05 is: 4,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.22 : 6,976.96 = 3,067.05 : x
  2. Step 2: Convert to fraction form
    5,057.22/6,976.96 = 3,067.05/x
  3. Step 3: Cross multiply
    5,057.22x = 6,976.96 × 3,067.05
  4. Step 4: Simplify right side
    5,057.22x = 21,398,677.50
  5. Step 5: Solve for x
    x = 21,398,677.50/5,057.22
  6. Step 6: Final answer
    x = 4,231.31

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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.