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Finding the Fourth Proportional to 5,980.91, 8,969.81 and 2,282.04

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Solution

The fourth proportional to 5,980.91, 8,969.81 and 2,282.04 is: 3,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.91 : 8,969.81 = 2,282.04 : x
  2. Step 2: Convert to fraction form
    5,980.91/8,969.81 = 2,282.04/x
  3. Step 3: Cross multiply
    5,980.91x = 8,969.81 × 2,282.04
  4. Step 4: Simplify right side
    5,980.91x = 20,469,453.80
  5. Step 5: Solve for x
    x = 20,469,453.80/5,980.91
  6. Step 6: Final answer
    x = 3,422.47

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Why These Related Problems?

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