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Finding the Fourth Proportional to 5,584.97, 7,707.46 and 3,067.31

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Solution

The fourth proportional to 5,584.97, 7,707.46 and 3,067.31 is: 4,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.97 : 7,707.46 = 3,067.31 : x
  2. Step 2: Convert to fraction form
    5,584.97/7,707.46 = 3,067.31/x
  3. Step 3: Cross multiply
    5,584.97x = 7,707.46 × 3,067.31
  4. Step 4: Simplify right side
    5,584.97x = 23,641,169.13
  5. Step 5: Solve for x
    x = 23,641,169.13/5,584.97
  6. Step 6: Final answer
    x = 4,233.00

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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.