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Finding the Fourth Proportional to 5,842.02, 8,056.54 and 3,849.12

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Solution

The fourth proportional to 5,842.02, 8,056.54 and 3,849.12 is: 5,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.02 : 8,056.54 = 3,849.12 : x
  2. Step 2: Convert to fraction form
    5,842.02/8,056.54 = 3,849.12/x
  3. Step 3: Cross multiply
    5,842.02x = 8,056.54 × 3,849.12
  4. Step 4: Simplify right side
    5,842.02x = 31,010,589.24
  5. Step 5: Solve for x
    x = 31,010,589.24/5,842.02
  6. Step 6: Final answer
    x = 5,308.20

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