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Finding the Fourth Proportional to 3,825.65, 5,733.09 and 3,042.17

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Solution

The fourth proportional to 3,825.65, 5,733.09 and 3,042.17 is: 4,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.65 : 5,733.09 = 3,042.17 : x
  2. Step 2: Convert to fraction form
    3,825.65/5,733.09 = 3,042.17/x
  3. Step 3: Cross multiply
    3,825.65x = 5,733.09 × 3,042.17
  4. Step 4: Simplify right side
    3,825.65x = 17,441,060.15
  5. Step 5: Solve for x
    x = 17,441,060.15/3,825.65
  6. Step 6: Final answer
    x = 4,558.98

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