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Finding the Fourth Proportional to 2,822.88, 3,861.02 and 2,777.52

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Solution

The fourth proportional to 2,822.88, 3,861.02 and 2,777.52 is: 3,798.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.88 : 3,861.02 = 2,777.52 : x
  2. Step 2: Convert to fraction form
    2,822.88/3,861.02 = 2,777.52/x
  3. Step 3: Cross multiply
    2,822.88x = 3,861.02 × 2,777.52
  4. Step 4: Simplify right side
    2,822.88x = 10,724,046.38
  5. Step 5: Solve for x
    x = 10,724,046.38/2,822.88
  6. Step 6: Final answer
    x = 3,798.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.