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Finding the Fourth Proportional to 3,213.88, 4,813.10 and 2,749

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Solution

The fourth proportional to 3,213.88, 4,813.10 and 2,749 is: 4,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.88 : 4,813.10 = 2,749 : x
  2. Step 2: Convert to fraction form
    3,213.88/4,813.10 = 2,749/x
  3. Step 3: Cross multiply
    3,213.88x = 4,813.10 × 2,749
  4. Step 4: Simplify right side
    3,213.88x = 13,231,211.90
  5. Step 5: Solve for x
    x = 13,231,211.90/3,213.88
  6. Step 6: Final answer
    x = 4,116.90

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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.