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Finding the Fourth Proportional to 3,861.29, 5,330.64 and 3,020.20

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Solution

The fourth proportional to 3,861.29, 5,330.64 and 3,020.20 is: 4,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.29 : 5,330.64 = 3,020.20 : x
  2. Step 2: Convert to fraction form
    3,861.29/5,330.64 = 3,020.20/x
  3. Step 3: Cross multiply
    3,861.29x = 5,330.64 × 3,020.20
  4. Step 4: Simplify right side
    3,861.29x = 16,099,626.91
  5. Step 5: Solve for x
    x = 16,099,626.91/3,861.29
  6. Step 6: Final answer
    x = 4,169.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.