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Finding the Fourth Proportional to 3,821.64, 5,706.57 and 3,032.78

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Solution

The fourth proportional to 3,821.64, 5,706.57 and 3,032.78 is: 4,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.64 : 5,706.57 = 3,032.78 : x
  2. Step 2: Convert to fraction form
    3,821.64/5,706.57 = 3,032.78/x
  3. Step 3: Cross multiply
    3,821.64x = 5,706.57 × 3,032.78
  4. Step 4: Simplify right side
    3,821.64x = 17,306,771.36
  5. Step 5: Solve for x
    x = 17,306,771.36/3,821.64
  6. Step 6: Final answer
    x = 4,528.62

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