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Finding the Fourth Proportional to 3,850.82, 5,778.70 and 3,819.50

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Solution

The fourth proportional to 3,850.82, 5,778.70 and 3,819.50 is: 5,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.82 : 5,778.70 = 3,819.50 : x
  2. Step 2: Convert to fraction form
    3,850.82/5,778.70 = 3,819.50/x
  3. Step 3: Cross multiply
    3,850.82x = 5,778.70 × 3,819.50
  4. Step 4: Simplify right side
    3,850.82x = 22,071,744.65
  5. Step 5: Solve for x
    x = 22,071,744.65/3,850.82
  6. Step 6: Final answer
    x = 5,731.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.