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Finding the Fourth Proportional to 3,494.00, 5,227.92 and 2,083.26

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Solution

The fourth proportional to 3,494.00, 5,227.92 and 2,083.26 is: 3,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.00 : 5,227.92 = 2,083.26 : x
  2. Step 2: Convert to fraction form
    3,494.00/5,227.92 = 2,083.26/x
  3. Step 3: Cross multiply
    3,494.00x = 5,227.92 × 2,083.26
  4. Step 4: Simplify right side
    3,494.00x = 10,891,116.62
  5. Step 5: Solve for x
    x = 10,891,116.62/3,494.00
  6. Step 6: Final answer
    x = 3,117.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.