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Finding the Fourth Proportional to 3,834.48, 5,740.56 and 2,864.64

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Solution

The fourth proportional to 3,834.48, 5,740.56 and 2,864.64 is: 4,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.48 : 5,740.56 = 2,864.64 : x
  2. Step 2: Convert to fraction form
    3,834.48/5,740.56 = 2,864.64/x
  3. Step 3: Cross multiply
    3,834.48x = 5,740.56 × 2,864.64
  4. Step 4: Simplify right side
    3,834.48x = 16,444,637.80
  5. Step 5: Solve for x
    x = 16,444,637.80/3,834.48
  6. Step 6: Final answer
    x = 4,288.62

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