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Finding the Fourth Proportional to 5,979.87, 8,969.85 and 2,084.27

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Solution

The fourth proportional to 5,979.87, 8,969.85 and 2,084.27 is: 3,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.87 : 8,969.85 = 2,084.27 : x
  2. Step 2: Convert to fraction form
    5,979.87/8,969.85 = 2,084.27/x
  3. Step 3: Cross multiply
    5,979.87x = 8,969.85 × 2,084.27
  4. Step 4: Simplify right side
    5,979.87x = 18,695,544.41
  5. Step 5: Solve for x
    x = 18,695,544.41/5,979.87
  6. Step 6: Final answer
    x = 3,126.41

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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.