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Finding the Fourth Proportional to 3,819, 5,270.96 and 2,247.96

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Solution

The fourth proportional to 3,819, 5,270.96 and 2,247.96 is: 3,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819 : 5,270.96 = 2,247.96 : x
  2. Step 2: Convert to fraction form
    3,819/5,270.96 = 2,247.96/x
  3. Step 3: Cross multiply
    3,819x = 5,270.96 × 2,247.96
  4. Step 4: Simplify right side
    3,819x = 11,848,907.24
  5. Step 5: Solve for x
    x = 11,848,907.24/3,819
  6. Step 6: Final answer
    x = 3,102.62

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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.