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Finding the Fourth Proportional to 3,379.20, 4,662.24 and 2,336.64

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Solution

The fourth proportional to 3,379.20, 4,662.24 and 2,336.64 is: 3,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.20 : 4,662.24 = 2,336.64 : x
  2. Step 2: Convert to fraction form
    3,379.20/4,662.24 = 2,336.64/x
  3. Step 3: Cross multiply
    3,379.20x = 4,662.24 × 2,336.64
  4. Step 4: Simplify right side
    3,379.20x = 10,893,976.47
  5. Step 5: Solve for x
    x = 10,893,976.47/3,379.20
  6. Step 6: Final answer
    x = 3,223.83

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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.