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Finding the Fourth Proportional to 3,858, 5,791.96 and 2,010.38

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Solution

The fourth proportional to 3,858, 5,791.96 and 2,010.38 is: 3,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858 : 5,791.96 = 2,010.38 : x
  2. Step 2: Convert to fraction form
    3,858/5,791.96 = 2,010.38/x
  3. Step 3: Cross multiply
    3,858x = 5,791.96 × 2,010.38
  4. Step 4: Simplify right side
    3,858x = 11,644,040.54
  5. Step 5: Solve for x
    x = 11,644,040.54/3,858
  6. Step 6: Final answer
    x = 3,018.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.