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Finding the Fourth Proportional to 3,792.78, 5,686.58 and 1,942.38

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Solution

The fourth proportional to 3,792.78, 5,686.58 and 1,942.38 is: 2,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.78 : 5,686.58 = 1,942.38 : x
  2. Step 2: Convert to fraction form
    3,792.78/5,686.58 = 1,942.38/x
  3. Step 3: Cross multiply
    3,792.78x = 5,686.58 × 1,942.38
  4. Step 4: Simplify right side
    3,792.78x = 11,045,489.55
  5. Step 5: Solve for x
    x = 11,045,489.55/3,792.78
  6. Step 6: Final answer
    x = 2,912.24

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