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Finding the Fourth Proportional to 4,196.75, 5,791.64 and 2,308.24

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Solution

The fourth proportional to 4,196.75, 5,791.64 and 2,308.24 is: 3,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.75 : 5,791.64 = 2,308.24 : x
  2. Step 2: Convert to fraction form
    4,196.75/5,791.64 = 2,308.24/x
  3. Step 3: Cross multiply
    4,196.75x = 5,791.64 × 2,308.24
  4. Step 4: Simplify right side
    4,196.75x = 13,368,471.93
  5. Step 5: Solve for x
    x = 13,368,471.93/4,196.75
  6. Step 6: Final answer
    x = 3,185.43

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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.