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Finding the Fourth Proportional to 6,571.22, 9,067.19 and 3,917.66

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Solution

The fourth proportional to 6,571.22, 9,067.19 and 3,917.66 is: 5,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.22 : 9,067.19 = 3,917.66 : x
  2. Step 2: Convert to fraction form
    6,571.22/9,067.19 = 3,917.66/x
  3. Step 3: Cross multiply
    6,571.22x = 9,067.19 × 3,917.66
  4. Step 4: Simplify right side
    6,571.22x = 35,522,102.65
  5. Step 5: Solve for x
    x = 35,522,102.65/6,571.22
  6. Step 6: Final answer
    x = 5,405.71

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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.