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Finding the Fourth Proportional to 3,961.88, 5,938.42 and 2,010.06

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Solution

The fourth proportional to 3,961.88, 5,938.42 and 2,010.06 is: 3,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.88 : 5,938.42 = 2,010.06 : x
  2. Step 2: Convert to fraction form
    3,961.88/5,938.42 = 2,010.06/x
  3. Step 3: Cross multiply
    3,961.88x = 5,938.42 × 2,010.06
  4. Step 4: Simplify right side
    3,961.88x = 11,936,580.51
  5. Step 5: Solve for x
    x = 11,936,580.51/3,961.88
  6. Step 6: Final answer
    x = 3,012.86

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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.