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Finding the Fourth Proportional to 3,105.75, 4,285.94 and 2,057.82

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Solution

The fourth proportional to 3,105.75, 4,285.94 and 2,057.82 is: 2,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.75 : 4,285.94 = 2,057.82 : x
  2. Step 2: Convert to fraction form
    3,105.75/4,285.94 = 2,057.82/x
  3. Step 3: Cross multiply
    3,105.75x = 4,285.94 × 2,057.82
  4. Step 4: Simplify right side
    3,105.75x = 8,819,682.76
  5. Step 5: Solve for x
    x = 8,819,682.76/3,105.75
  6. Step 6: Final answer
    x = 2,839.79

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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.