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Finding the Fourth Proportional to 3,845.61, 5,767.80 and 1,071.99

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Solution

The fourth proportional to 3,845.61, 5,767.80 and 1,071.99 is: 1,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.61 : 5,767.80 = 1,071.99 : x
  2. Step 2: Convert to fraction form
    3,845.61/5,767.80 = 1,071.99/x
  3. Step 3: Cross multiply
    3,845.61x = 5,767.80 × 1,071.99
  4. Step 4: Simplify right side
    3,845.61x = 6,183,023.92
  5. Step 5: Solve for x
    x = 6,183,023.92/3,845.61
  6. Step 6: Final answer
    x = 1,607.81

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