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Finding the Fourth Proportional to 5,336.92, 8,017 and 5,161.96

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Solution

The fourth proportional to 5,336.92, 8,017 and 5,161.96 is: 7,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.92 : 8,017 = 5,161.96 : x
  2. Step 2: Convert to fraction form
    5,336.92/8,017 = 5,161.96/x
  3. Step 3: Cross multiply
    5,336.92x = 8,017 × 5,161.96
  4. Step 4: Simplify right side
    5,336.92x = 41,383,433.32
  5. Step 5: Solve for x
    x = 41,383,433.32/5,336.92
  6. Step 6: Final answer
    x = 7,754.18

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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.