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Finding the Fourth Proportional to 3,874.78, 5,811.09 and 1,409.14

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Solution

The fourth proportional to 3,874.78, 5,811.09 and 1,409.14 is: 2,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.78 : 5,811.09 = 1,409.14 : x
  2. Step 2: Convert to fraction form
    3,874.78/5,811.09 = 1,409.14/x
  3. Step 3: Cross multiply
    3,874.78x = 5,811.09 × 1,409.14
  4. Step 4: Simplify right side
    3,874.78x = 8,188,639.36
  5. Step 5: Solve for x
    x = 8,188,639.36/3,874.78
  6. Step 6: Final answer
    x = 2,113.32

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