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Finding the Fourth Proportional to 3,311.62, 4,573.74 and 2,996.80

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Solution

The fourth proportional to 3,311.62, 4,573.74 and 2,996.80 is: 4,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.62 : 4,573.74 = 2,996.80 : x
  2. Step 2: Convert to fraction form
    3,311.62/4,573.74 = 2,996.80/x
  3. Step 3: Cross multiply
    3,311.62x = 4,573.74 × 2,996.80
  4. Step 4: Simplify right side
    3,311.62x = 13,706,584.03
  5. Step 5: Solve for x
    x = 13,706,584.03/3,311.62
  6. Step 6: Final answer
    x = 4,138.94

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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.