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Finding the Fourth Proportional to 3,405.93, 5,102.82 and 2,306.36

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Solution

The fourth proportional to 3,405.93, 5,102.82 and 2,306.36 is: 3,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.93 : 5,102.82 = 2,306.36 : x
  2. Step 2: Convert to fraction form
    3,405.93/5,102.82 = 2,306.36/x
  3. Step 3: Cross multiply
    3,405.93x = 5,102.82 × 2,306.36
  4. Step 4: Simplify right side
    3,405.93x = 11,768,914.42
  5. Step 5: Solve for x
    x = 11,768,914.42/3,405.93
  6. Step 6: Final answer
    x = 3,455.42

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