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Finding the Fourth Proportional to 3,514.97, 4,850.07 and 2,099.23

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Solution

The fourth proportional to 3,514.97, 4,850.07 and 2,099.23 is: 2,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.97 : 4,850.07 = 2,099.23 : x
  2. Step 2: Convert to fraction form
    3,514.97/4,850.07 = 2,099.23/x
  3. Step 3: Cross multiply
    3,514.97x = 4,850.07 × 2,099.23
  4. Step 4: Simplify right side
    3,514.97x = 10,181,398.06
  5. Step 5: Solve for x
    x = 10,181,398.06/3,514.97
  6. Step 6: Final answer
    x = 2,896.58

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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.