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Finding the Fourth Proportional to 3,982.26, 5,495 and 2,213.64

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Solution

The fourth proportional to 3,982.26, 5,495 and 2,213.64 is: 3,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.26 : 5,495 = 2,213.64 : x
  2. Step 2: Convert to fraction form
    3,982.26/5,495 = 2,213.64/x
  3. Step 3: Cross multiply
    3,982.26x = 5,495 × 2,213.64
  4. Step 4: Simplify right side
    3,982.26x = 12,163,951.80
  5. Step 5: Solve for x
    x = 12,163,951.80/3,982.26
  6. Step 6: Final answer
    x = 3,054.53

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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.