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Finding the Fourth Proportional to 3,799.55, 5,243.42 and 2,206.23

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Solution

The fourth proportional to 3,799.55, 5,243.42 and 2,206.23 is: 3,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.55 : 5,243.42 = 2,206.23 : x
  2. Step 2: Convert to fraction form
    3,799.55/5,243.42 = 2,206.23/x
  3. Step 3: Cross multiply
    3,799.55x = 5,243.42 × 2,206.23
  4. Step 4: Simplify right side
    3,799.55x = 11,568,190.51
  5. Step 5: Solve for x
    x = 11,568,190.51/3,799.55
  6. Step 6: Final answer
    x = 3,044.62

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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.