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Finding the Fourth Proportional to 3,459.92, 5,191.70 and 1,610.55

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Solution

The fourth proportional to 3,459.92, 5,191.70 and 1,610.55 is: 2,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.92 : 5,191.70 = 1,610.55 : x
  2. Step 2: Convert to fraction form
    3,459.92/5,191.70 = 1,610.55/x
  3. Step 3: Cross multiply
    3,459.92x = 5,191.70 × 1,610.55
  4. Step 4: Simplify right side
    3,459.92x = 8,361,484.38
  5. Step 5: Solve for x
    x = 8,361,484.38/3,459.92
  6. Step 6: Final answer
    x = 2,416.67

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