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Finding the Fourth Proportional to 3,814.34, 5,704.77 and 3,320.26

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Solution

The fourth proportional to 3,814.34, 5,704.77 and 3,320.26 is: 4,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.34 : 5,704.77 = 3,320.26 : x
  2. Step 2: Convert to fraction form
    3,814.34/5,704.77 = 3,320.26/x
  3. Step 3: Cross multiply
    3,814.34x = 5,704.77 × 3,320.26
  4. Step 4: Simplify right side
    3,814.34x = 18,941,319.64
  5. Step 5: Solve for x
    x = 18,941,319.64/3,814.34
  6. Step 6: Final answer
    x = 4,965.82

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