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Finding the Fourth Proportional to 3,765.56, 5,196.83 and 2,819.68

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Solution

The fourth proportional to 3,765.56, 5,196.83 and 2,819.68 is: 3,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.56 : 5,196.83 = 2,819.68 : x
  2. Step 2: Convert to fraction form
    3,765.56/5,196.83 = 2,819.68/x
  3. Step 3: Cross multiply
    3,765.56x = 5,196.83 × 2,819.68
  4. Step 4: Simplify right side
    3,765.56x = 14,653,370.52
  5. Step 5: Solve for x
    x = 14,653,370.52/3,765.56
  6. Step 6: Final answer
    x = 3,891.42

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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.