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Finding the Fourth Proportional to 3,869.46, 5,805.81 and 2,782.44

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Solution

The fourth proportional to 3,869.46, 5,805.81 and 2,782.44 is: 4,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.46 : 5,805.81 = 2,782.44 : x
  2. Step 2: Convert to fraction form
    3,869.46/5,805.81 = 2,782.44/x
  3. Step 3: Cross multiply
    3,869.46x = 5,805.81 × 2,782.44
  4. Step 4: Simplify right side
    3,869.46x = 16,154,317.98
  5. Step 5: Solve for x
    x = 16,154,317.98/3,869.46
  6. Step 6: Final answer
    x = 4,174.82

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