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Finding the Fourth Proportional to 8,975.44, 13,463.70 and 2,819.44

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Solution

The fourth proportional to 8,975.44, 13,463.70 and 2,819.44 is: 4,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.44 : 13,463.70 = 2,819.44 : x
  2. Step 2: Convert to fraction form
    8,975.44/13,463.70 = 2,819.44/x
  3. Step 3: Cross multiply
    8,975.44x = 13,463.70 × 2,819.44
  4. Step 4: Simplify right side
    8,975.44x = 37,960,060.67
  5. Step 5: Solve for x
    x = 37,960,060.67/8,975.44
  6. Step 6: Final answer
    x = 4,229.33

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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.