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Finding the Fourth Proportional to 4,196.88, 5,791.69 and 2,308.49

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Solution

The fourth proportional to 4,196.88, 5,791.69 and 2,308.49 is: 3,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.88 : 5,791.69 = 2,308.49 : x
  2. Step 2: Convert to fraction form
    4,196.88/5,791.69 = 2,308.49/x
  3. Step 3: Cross multiply
    4,196.88x = 5,791.69 × 2,308.49
  4. Step 4: Simplify right side
    4,196.88x = 13,370,029.49
  5. Step 5: Solve for x
    x = 13,370,029.49/4,196.88
  6. Step 6: Final answer
    x = 3,185.71

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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.