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Finding the Fourth Proportional to 3,701.75, 5,108.31 and 2,209.68

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Solution

The fourth proportional to 3,701.75, 5,108.31 and 2,209.68 is: 3,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.75 : 5,108.31 = 2,209.68 : x
  2. Step 2: Convert to fraction form
    3,701.75/5,108.31 = 2,209.68/x
  3. Step 3: Cross multiply
    3,701.75x = 5,108.31 × 2,209.68
  4. Step 4: Simplify right side
    3,701.75x = 11,287,730.44
  5. Step 5: Solve for x
    x = 11,287,730.44/3,701.75
  6. Step 6: Final answer
    x = 3,049.30

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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.