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Finding the Fourth Proportional to 3,459.91, 5,189.83 and 1,610

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Solution

The fourth proportional to 3,459.91, 5,189.83 and 1,610 is: 2,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.91 : 5,189.83 = 1,610 : x
  2. Step 2: Convert to fraction form
    3,459.91/5,189.83 = 1,610/x
  3. Step 3: Cross multiply
    3,459.91x = 5,189.83 × 1,610
  4. Step 4: Simplify right side
    3,459.91x = 8,355,626.30
  5. Step 5: Solve for x
    x = 8,355,626.30/3,459.91
  6. Step 6: Final answer
    x = 2,414.98

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