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Finding the Fourth Proportional to 3,772.26, 5,205.29 and 2,093.23

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Solution

The fourth proportional to 3,772.26, 5,205.29 and 2,093.23 is: 2,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.26 : 5,205.29 = 2,093.23 : x
  2. Step 2: Convert to fraction form
    3,772.26/5,205.29 = 2,093.23/x
  3. Step 3: Cross multiply
    3,772.26x = 5,205.29 × 2,093.23
  4. Step 4: Simplify right side
    3,772.26x = 10,895,869.19
  5. Step 5: Solve for x
    x = 10,895,869.19/3,772.26
  6. Step 6: Final answer
    x = 2,888.42

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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.