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Finding the Fourth Proportional to 3,906.80, 5,861.06 and 1,309.67

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Solution

The fourth proportional to 3,906.80, 5,861.06 and 1,309.67 is: 1,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.80 : 5,861.06 = 1,309.67 : x
  2. Step 2: Convert to fraction form
    3,906.80/5,861.06 = 1,309.67/x
  3. Step 3: Cross multiply
    3,906.80x = 5,861.06 × 1,309.67
  4. Step 4: Simplify right side
    3,906.80x = 7,676,054.45
  5. Step 5: Solve for x
    x = 7,676,054.45/3,906.80
  6. Step 6: Final answer
    x = 1,964.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.