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Finding the Fourth Proportional to 3,830.70, 5,747.29 and 1,881.54

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Solution

The fourth proportional to 3,830.70, 5,747.29 and 1,881.54 is: 2,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.70 : 5,747.29 = 1,881.54 : x
  2. Step 2: Convert to fraction form
    3,830.70/5,747.29 = 1,881.54/x
  3. Step 3: Cross multiply
    3,830.70x = 5,747.29 × 1,881.54
  4. Step 4: Simplify right side
    3,830.70x = 10,813,729.77
  5. Step 5: Solve for x
    x = 10,813,729.77/3,830.70
  6. Step 6: Final answer
    x = 2,822.91

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