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Finding the Fourth Proportional to 3,504.50, 4,843.17 and 2,874.05

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Solution

The fourth proportional to 3,504.50, 4,843.17 and 2,874.05 is: 3,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.50 : 4,843.17 = 2,874.05 : x
  2. Step 2: Convert to fraction form
    3,504.50/4,843.17 = 2,874.05/x
  3. Step 3: Cross multiply
    3,504.50x = 4,843.17 × 2,874.05
  4. Step 4: Simplify right side
    3,504.50x = 13,919,488.52
  5. Step 5: Solve for x
    x = 13,919,488.52/3,504.50
  6. Step 6: Final answer
    x = 3,971.90

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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.