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Finding the Fourth Proportional to 5,205.78, 7,802.19 and 2,428.83

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Solution

The fourth proportional to 5,205.78, 7,802.19 and 2,428.83 is: 3,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.78 : 7,802.19 = 2,428.83 : x
  2. Step 2: Convert to fraction form
    5,205.78/7,802.19 = 2,428.83/x
  3. Step 3: Cross multiply
    5,205.78x = 7,802.19 × 2,428.83
  4. Step 4: Simplify right side
    5,205.78x = 18,950,193.14
  5. Step 5: Solve for x
    x = 18,950,193.14/5,205.78
  6. Step 6: Final answer
    x = 3,640.22

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