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Finding the Fourth Proportional to 3,791.22, 5,682.84 and 2,617.41

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Solution

The fourth proportional to 3,791.22, 5,682.84 and 2,617.41 is: 3,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.22 : 5,682.84 = 2,617.41 : x
  2. Step 2: Convert to fraction form
    3,791.22/5,682.84 = 2,617.41/x
  3. Step 3: Cross multiply
    3,791.22x = 5,682.84 × 2,617.41
  4. Step 4: Simplify right side
    3,791.22x = 14,874,322.24
  5. Step 5: Solve for x
    x = 14,874,322.24/3,791.22
  6. Step 6: Final answer
    x = 3,923.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.