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Finding the Fourth Proportional to 3,761.94, 5,191.09 and 2,083.25

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Solution

The fourth proportional to 3,761.94, 5,191.09 and 2,083.25 is: 2,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.94 : 5,191.09 = 2,083.25 : x
  2. Step 2: Convert to fraction form
    3,761.94/5,191.09 = 2,083.25/x
  3. Step 3: Cross multiply
    3,761.94x = 5,191.09 × 2,083.25
  4. Step 4: Simplify right side
    3,761.94x = 10,814,346.01
  5. Step 5: Solve for x
    x = 10,814,346.01/3,761.94
  6. Step 6: Final answer
    x = 2,874.67

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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.