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Finding the Fourth Proportional to 4,469.70, 6,164.16 and 2,791.26

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Solution

The fourth proportional to 4,469.70, 6,164.16 and 2,791.26 is: 3,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.70 : 6,164.16 = 2,791.26 : x
  2. Step 2: Convert to fraction form
    4,469.70/6,164.16 = 2,791.26/x
  3. Step 3: Cross multiply
    4,469.70x = 6,164.16 × 2,791.26
  4. Step 4: Simplify right side
    4,469.70x = 17,205,773.24
  5. Step 5: Solve for x
    x = 17,205,773.24/4,469.70
  6. Step 6: Final answer
    x = 3,849.42

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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.