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Finding the Fourth Proportional to 3,857.37, 5,781.20 and 2,763.87

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Solution

The fourth proportional to 3,857.37, 5,781.20 and 2,763.87 is: 4,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.37 : 5,781.20 = 2,763.87 : x
  2. Step 2: Convert to fraction form
    3,857.37/5,781.20 = 2,763.87/x
  3. Step 3: Cross multiply
    3,857.37x = 5,781.20 × 2,763.87
  4. Step 4: Simplify right side
    3,857.37x = 15,978,471.42
  5. Step 5: Solve for x
    x = 15,978,471.42/3,857.37
  6. Step 6: Final answer
    x = 4,142.32

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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.