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Finding the Fourth Proportional to 4,914.92, 6,782.78 and 2,819.44

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Solution

The fourth proportional to 4,914.92, 6,782.78 and 2,819.44 is: 3,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.92 : 6,782.78 = 2,819.44 : x
  2. Step 2: Convert to fraction form
    4,914.92/6,782.78 = 2,819.44/x
  3. Step 3: Cross multiply
    4,914.92x = 6,782.78 × 2,819.44
  4. Step 4: Simplify right side
    4,914.92x = 19,123,641.24
  5. Step 5: Solve for x
    x = 19,123,641.24/4,914.92
  6. Step 6: Final answer
    x = 3,890.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.