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Finding the Fourth Proportional to 3,892.15, 5,823.61 and 3,681.15

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Solution

The fourth proportional to 3,892.15, 5,823.61 and 3,681.15 is: 5,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.15 : 5,823.61 = 3,681.15 : x
  2. Step 2: Convert to fraction form
    3,892.15/5,823.61 = 3,681.15/x
  3. Step 3: Cross multiply
    3,892.15x = 5,823.61 × 3,681.15
  4. Step 4: Simplify right side
    3,892.15x = 21,437,550.91
  5. Step 5: Solve for x
    x = 21,437,550.91/3,892.15
  6. Step 6: Final answer
    x = 5,507.89

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