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Finding the Fourth Proportional to 3,761.90, 5,190.96 and 2,083.07

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Solution

The fourth proportional to 3,761.90, 5,190.96 and 2,083.07 is: 2,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.90 : 5,190.96 = 2,083.07 : x
  2. Step 2: Convert to fraction form
    3,761.90/5,190.96 = 2,083.07/x
  3. Step 3: Cross multiply
    3,761.90x = 5,190.96 × 2,083.07
  4. Step 4: Simplify right side
    3,761.90x = 10,813,133.05
  5. Step 5: Solve for x
    x = 10,813,133.05/3,761.90
  6. Step 6: Final answer
    x = 2,874.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.