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Finding the Fourth Proportional to 4,819.74, 7,224.72 and 1,896.90

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Solution

The fourth proportional to 4,819.74, 7,224.72 and 1,896.90 is: 2,843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.74 : 7,224.72 = 1,896.90 : x
  2. Step 2: Convert to fraction form
    4,819.74/7,224.72 = 1,896.90/x
  3. Step 3: Cross multiply
    4,819.74x = 7,224.72 × 1,896.90
  4. Step 4: Simplify right side
    4,819.74x = 13,704,571.37
  5. Step 5: Solve for x
    x = 13,704,571.37/4,819.74
  6. Step 6: Final answer
    x = 2,843.43

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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.