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Finding the Fourth Proportional to 3,789.99, 5,229.61 and 2,277.22

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Solution

The fourth proportional to 3,789.99, 5,229.61 and 2,277.22 is: 3,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.99 : 5,229.61 = 2,277.22 : x
  2. Step 2: Convert to fraction form
    3,789.99/5,229.61 = 2,277.22/x
  3. Step 3: Cross multiply
    3,789.99x = 5,229.61 × 2,277.22
  4. Step 4: Simplify right side
    3,789.99x = 11,908,972.48
  5. Step 5: Solve for x
    x = 11,908,972.48/3,789.99
  6. Step 6: Final answer
    x = 3,142.22

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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.