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Finding the Fourth Proportional to 4,198.04, 5,791.94 and 2,703.32

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Solution

The fourth proportional to 4,198.04, 5,791.94 and 2,703.32 is: 3,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.04 : 5,791.94 = 2,703.32 : x
  2. Step 2: Convert to fraction form
    4,198.04/5,791.94 = 2,703.32/x
  3. Step 3: Cross multiply
    4,198.04x = 5,791.94 × 2,703.32
  4. Step 4: Simplify right side
    4,198.04x = 15,657,467.24
  5. Step 5: Solve for x
    x = 15,657,467.24/4,198.04
  6. Step 6: Final answer
    x = 3,729.71

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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.