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Finding the Fourth Proportional to 3,834.15, 5,746.41 and 1,640.30

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Solution

The fourth proportional to 3,834.15, 5,746.41 and 1,640.30 is: 2,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.15 : 5,746.41 = 1,640.30 : x
  2. Step 2: Convert to fraction form
    3,834.15/5,746.41 = 1,640.30/x
  3. Step 3: Cross multiply
    3,834.15x = 5,746.41 × 1,640.30
  4. Step 4: Simplify right side
    3,834.15x = 9,425,836.32
  5. Step 5: Solve for x
    x = 9,425,836.32/3,834.15
  6. Step 6: Final answer
    x = 2,458.39

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