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Finding the Fourth Proportional to 3,791.51, 5,231.77 and 2,112.70

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Solution

The fourth proportional to 3,791.51, 5,231.77 and 2,112.70 is: 2,915.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.51 : 5,231.77 = 2,112.70 : x
  2. Step 2: Convert to fraction form
    3,791.51/5,231.77 = 2,112.70/x
  3. Step 3: Cross multiply
    3,791.51x = 5,231.77 × 2,112.70
  4. Step 4: Simplify right side
    3,791.51x = 11,053,160.48
  5. Step 5: Solve for x
    x = 11,053,160.48/3,791.51
  6. Step 6: Final answer
    x = 2,915.24

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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.