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Finding the Fourth Proportional to 5,211.77, 7,821.56 and 3,828.62

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Solution

The fourth proportional to 5,211.77, 7,821.56 and 3,828.62 is: 5,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.77 : 7,821.56 = 3,828.62 : x
  2. Step 2: Convert to fraction form
    5,211.77/7,821.56 = 3,828.62/x
  3. Step 3: Cross multiply
    5,211.77x = 7,821.56 × 3,828.62
  4. Step 4: Simplify right side
    5,211.77x = 29,945,810.17
  5. Step 5: Solve for x
    x = 29,945,810.17/5,211.77
  6. Step 6: Final answer
    x = 5,745.81

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