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Finding the Fourth Proportional to 4,540.14, 6,823.80 and 3,765.24

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Solution

The fourth proportional to 4,540.14, 6,823.80 and 3,765.24 is: 5,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.14 : 6,823.80 = 3,765.24 : x
  2. Step 2: Convert to fraction form
    4,540.14/6,823.80 = 3,765.24/x
  3. Step 3: Cross multiply
    4,540.14x = 6,823.80 × 3,765.24
  4. Step 4: Simplify right side
    4,540.14x = 25,693,244.71
  5. Step 5: Solve for x
    x = 25,693,244.71/4,540.14
  6. Step 6: Final answer
    x = 5,659.13

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