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Finding the Fourth Proportional to 3,761.66, 5,190.64 and 2,082.83

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Solution

The fourth proportional to 3,761.66, 5,190.64 and 2,082.83 is: 2,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.66 : 5,190.64 = 2,082.83 : x
  2. Step 2: Convert to fraction form
    3,761.66/5,190.64 = 2,082.83/x
  3. Step 3: Cross multiply
    3,761.66x = 5,190.64 × 2,082.83
  4. Step 4: Simplify right side
    3,761.66x = 10,811,189.55
  5. Step 5: Solve for x
    x = 10,811,189.55/3,761.66
  6. Step 6: Final answer
    x = 2,874.05

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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.