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Finding the Fourth Proportional to 3,709.62, 5,115.15 and 2,765.97

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Solution

The fourth proportional to 3,709.62, 5,115.15 and 2,765.97 is: 3,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.62 : 5,115.15 = 2,765.97 : x
  2. Step 2: Convert to fraction form
    3,709.62/5,115.15 = 2,765.97/x
  3. Step 3: Cross multiply
    3,709.62x = 5,115.15 × 2,765.97
  4. Step 4: Simplify right side
    3,709.62x = 14,148,351.45
  5. Step 5: Solve for x
    x = 14,148,351.45/3,709.62
  6. Step 6: Final answer
    x = 3,813.96

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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.