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Finding the Fourth Proportional to 3,224.50, 4,838.24 and 1,910.86

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Solution

The fourth proportional to 3,224.50, 4,838.24 and 1,910.86 is: 2,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.50 : 4,838.24 = 1,910.86 : x
  2. Step 2: Convert to fraction form
    3,224.50/4,838.24 = 1,910.86/x
  3. Step 3: Cross multiply
    3,224.50x = 4,838.24 × 1,910.86
  4. Step 4: Simplify right side
    3,224.50x = 9,245,189.73
  5. Step 5: Solve for x
    x = 9,245,189.73/3,224.50
  6. Step 6: Final answer
    x = 2,867.17

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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.