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Finding the Fourth Proportional to 4,206.64, 6,310.72 and 2,828.80

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Solution

The fourth proportional to 4,206.64, 6,310.72 and 2,828.80 is: 4,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.64 : 6,310.72 = 2,828.80 : x
  2. Step 2: Convert to fraction form
    4,206.64/6,310.72 = 2,828.80/x
  3. Step 3: Cross multiply
    4,206.64x = 6,310.72 × 2,828.80
  4. Step 4: Simplify right side
    4,206.64x = 17,851,764.74
  5. Step 5: Solve for x
    x = 17,851,764.74/4,206.64
  6. Step 6: Final answer
    x = 4,243.71

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