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Finding the Fourth Proportional to 3,071.82, 4,607.75 and 1,905.21

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Solution

The fourth proportional to 3,071.82, 4,607.75 and 1,905.21 is: 2,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.82 : 4,607.75 = 1,905.21 : x
  2. Step 2: Convert to fraction form
    3,071.82/4,607.75 = 1,905.21/x
  3. Step 3: Cross multiply
    3,071.82x = 4,607.75 × 1,905.21
  4. Step 4: Simplify right side
    3,071.82x = 8,778,731.38
  5. Step 5: Solve for x
    x = 8,778,731.38/3,071.82
  6. Step 6: Final answer
    x = 2,857.83

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