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Finding the Fourth Proportional to 5,034.86, 6,947.78 and 2,796.83

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Solution

The fourth proportional to 5,034.86, 6,947.78 and 2,796.83 is: 3,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.86 : 6,947.78 = 2,796.83 : x
  2. Step 2: Convert to fraction form
    5,034.86/6,947.78 = 2,796.83/x
  3. Step 3: Cross multiply
    5,034.86x = 6,947.78 × 2,796.83
  4. Step 4: Simplify right side
    5,034.86x = 19,431,736.87
  5. Step 5: Solve for x
    x = 19,431,736.87/5,034.86
  6. Step 6: Final answer
    x = 3,859.44

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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.