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Finding the Fourth Proportional to 5,976.92, 8,958.63 and 3,049.04

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Solution

The fourth proportional to 5,976.92, 8,958.63 and 3,049.04 is: 4,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.92 : 8,958.63 = 3,049.04 : x
  2. Step 2: Convert to fraction form
    5,976.92/8,958.63 = 3,049.04/x
  3. Step 3: Cross multiply
    5,976.92x = 8,958.63 × 3,049.04
  4. Step 4: Simplify right side
    5,976.92x = 27,315,221.22
  5. Step 5: Solve for x
    x = 27,315,221.22/5,976.92
  6. Step 6: Final answer
    x = 4,570.12

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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.