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Finding the Fourth Proportional to 3,906.60, 5,861.10 and 3,085.20

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Solution

The fourth proportional to 3,906.60, 5,861.10 and 3,085.20 is: 4,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.60 : 5,861.10 = 3,085.20 : x
  2. Step 2: Convert to fraction form
    3,906.60/5,861.10 = 3,085.20/x
  3. Step 3: Cross multiply
    3,906.60x = 5,861.10 × 3,085.20
  4. Step 4: Simplify right side
    3,906.60x = 18,082,665.72
  5. Step 5: Solve for x
    x = 18,082,665.72/3,906.60
  6. Step 6: Final answer
    x = 4,628.75

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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.