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Finding the Fourth Proportional to 3,980.79, 5,969.36 and 2,200.66

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Solution

The fourth proportional to 3,980.79, 5,969.36 and 2,200.66 is: 3,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.79 : 5,969.36 = 2,200.66 : x
  2. Step 2: Convert to fraction form
    3,980.79/5,969.36 = 2,200.66/x
  3. Step 3: Cross multiply
    3,980.79x = 5,969.36 × 2,200.66
  4. Step 4: Simplify right side
    3,980.79x = 13,136,505.85
  5. Step 5: Solve for x
    x = 13,136,505.85/3,980.79
  6. Step 6: Final answer
    x = 3,299.97

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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.