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Finding the Fourth Proportional to 3,519.84, 4,856.21 and 2,027.73

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Solution

The fourth proportional to 3,519.84, 4,856.21 and 2,027.73 is: 2,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.84 : 4,856.21 = 2,027.73 : x
  2. Step 2: Convert to fraction form
    3,519.84/4,856.21 = 2,027.73/x
  3. Step 3: Cross multiply
    3,519.84x = 4,856.21 × 2,027.73
  4. Step 4: Simplify right side
    3,519.84x = 9,847,054.35
  5. Step 5: Solve for x
    x = 9,847,054.35/3,519.84
  6. Step 6: Final answer
    x = 2,797.58

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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.