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Finding the Fourth Proportional to 5,976.72, 8,969.94 and 3,204.90

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Solution

The fourth proportional to 5,976.72, 8,969.94 and 3,204.90 is: 4,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.72 : 8,969.94 = 3,204.90 : x
  2. Step 2: Convert to fraction form
    5,976.72/8,969.94 = 3,204.90/x
  3. Step 3: Cross multiply
    5,976.72x = 8,969.94 × 3,204.90
  4. Step 4: Simplify right side
    5,976.72x = 28,747,760.71
  5. Step 5: Solve for x
    x = 28,747,760.71/5,976.72
  6. Step 6: Final answer
    x = 4,809.96

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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.