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Finding the Fourth Proportional to 3,519.96, 4,856.49 and 2,007.52

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Solution

The fourth proportional to 3,519.96, 4,856.49 and 2,007.52 is: 2,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.96 : 4,856.49 = 2,007.52 : x
  2. Step 2: Convert to fraction form
    3,519.96/4,856.49 = 2,007.52/x
  3. Step 3: Cross multiply
    3,519.96x = 4,856.49 × 2,007.52
  4. Step 4: Simplify right side
    3,519.96x = 9,749,488.66
  5. Step 5: Solve for x
    x = 9,749,488.66/3,519.96
  6. Step 6: Final answer
    x = 2,769.78

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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.