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Finding the Fourth Proportional to 3,489.26, 4,813.17 and 2,091.20

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Solution

The fourth proportional to 3,489.26, 4,813.17 and 2,091.20 is: 2,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.26 : 4,813.17 = 2,091.20 : x
  2. Step 2: Convert to fraction form
    3,489.26/4,813.17 = 2,091.20/x
  3. Step 3: Cross multiply
    3,489.26x = 4,813.17 × 2,091.20
  4. Step 4: Simplify right side
    3,489.26x = 10,065,301.10
  5. Step 5: Solve for x
    x = 10,065,301.10/3,489.26
  6. Step 6: Final answer
    x = 2,884.65

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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.