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Finding the Fourth Proportional to 3,835.36, 5,743.32 and 3,064.24

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Solution

The fourth proportional to 3,835.36, 5,743.32 and 3,064.24 is: 4,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.36 : 5,743.32 = 3,064.24 : x
  2. Step 2: Convert to fraction form
    3,835.36/5,743.32 = 3,064.24/x
  3. Step 3: Cross multiply
    3,835.36x = 5,743.32 × 3,064.24
  4. Step 4: Simplify right side
    3,835.36x = 17,598,910.88
  5. Step 5: Solve for x
    x = 17,598,910.88/3,835.36
  6. Step 6: Final answer
    x = 4,588.59

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