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Finding the Fourth Proportional to 5,057.88, 6,977.84 and 3,067.71

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Solution

The fourth proportional to 5,057.88, 6,977.84 and 3,067.71 is: 4,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.88 : 6,977.84 = 3,067.71 : x
  2. Step 2: Convert to fraction form
    5,057.88/6,977.84 = 3,067.71/x
  3. Step 3: Cross multiply
    5,057.88x = 6,977.84 × 3,067.71
  4. Step 4: Simplify right side
    5,057.88x = 21,405,997.22
  5. Step 5: Solve for x
    x = 21,405,997.22/5,057.88
  6. Step 6: Final answer
    x = 4,232.21

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Why These Related Problems?

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