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Finding the Fourth Proportional to 4,912.92, 6,777.90 and 2,815.92

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Solution

The fourth proportional to 4,912.92, 6,777.90 and 2,815.92 is: 3,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.92 : 6,777.90 = 2,815.92 : x
  2. Step 2: Convert to fraction form
    4,912.92/6,777.90 = 2,815.92/x
  3. Step 3: Cross multiply
    4,912.92x = 6,777.90 × 2,815.92
  4. Step 4: Simplify right side
    4,912.92x = 19,086,024.17
  5. Step 5: Solve for x
    x = 19,086,024.17/4,912.92
  6. Step 6: Final answer
    x = 3,884.86

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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.