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Finding the Fourth Proportional to 5,201.57, 7,802.85 and 1,914.73

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Solution

The fourth proportional to 5,201.57, 7,802.85 and 1,914.73 is: 2,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.57 : 7,802.85 = 1,914.73 : x
  2. Step 2: Convert to fraction form
    5,201.57/7,802.85 = 1,914.73/x
  3. Step 3: Cross multiply
    5,201.57x = 7,802.85 × 1,914.73
  4. Step 4: Simplify right side
    5,201.57x = 14,940,350.98
  5. Step 5: Solve for x
    x = 14,940,350.98/5,201.57
  6. Step 6: Final answer
    x = 2,872.28

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