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Finding the Fourth Proportional to 3,519.54, 4,857.14 and 2,027.70

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Solution

The fourth proportional to 3,519.54, 4,857.14 and 2,027.70 is: 2,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.54 : 4,857.14 = 2,027.70 : x
  2. Step 2: Convert to fraction form
    3,519.54/4,857.14 = 2,027.70/x
  3. Step 3: Cross multiply
    3,519.54x = 4,857.14 × 2,027.70
  4. Step 4: Simplify right side
    3,519.54x = 9,848,822.78
  5. Step 5: Solve for x
    x = 9,848,822.78/3,519.54
  6. Step 6: Final answer
    x = 2,798.33

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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.