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Finding the Fourth Proportional to 3,771.82, 5,205.03 and 2,093.21

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Solution

The fourth proportional to 3,771.82, 5,205.03 and 2,093.21 is: 2,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.82 : 5,205.03 = 2,093.21 : x
  2. Step 2: Convert to fraction form
    3,771.82/5,205.03 = 2,093.21/x
  3. Step 3: Cross multiply
    3,771.82x = 5,205.03 × 2,093.21
  4. Step 4: Simplify right side
    3,771.82x = 10,895,224.10
  5. Step 5: Solve for x
    x = 10,895,224.10/3,771.82
  6. Step 6: Final answer
    x = 2,888.59

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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.