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Finding the Fourth Proportional to 3,273.34, 4,517.22 and 1,876

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Solution

The fourth proportional to 3,273.34, 4,517.22 and 1,876 is: 2,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.34 : 4,517.22 = 1,876 : x
  2. Step 2: Convert to fraction form
    3,273.34/4,517.22 = 1,876/x
  3. Step 3: Cross multiply
    3,273.34x = 4,517.22 × 1,876
  4. Step 4: Simplify right side
    3,273.34x = 8,474,304.72
  5. Step 5: Solve for x
    x = 8,474,304.72/3,273.34
  6. Step 6: Final answer
    x = 2,588.89

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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.