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Finding the Fourth Proportional to 4,609.46, 6,349.96 and 3,809.44

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Solution

The fourth proportional to 4,609.46, 6,349.96 and 3,809.44 is: 5,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.46 : 6,349.96 = 3,809.44 : x
  2. Step 2: Convert to fraction form
    4,609.46/6,349.96 = 3,809.44/x
  3. Step 3: Cross multiply
    4,609.46x = 6,349.96 × 3,809.44
  4. Step 4: Simplify right side
    4,609.46x = 24,189,791.62
  5. Step 5: Solve for x
    x = 24,189,791.62/4,609.46
  6. Step 6: Final answer
    x = 5,247.86

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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.