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Finding the Fourth Proportional to 3,791.08, 5,677.13 and 2,400.22

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Solution

The fourth proportional to 3,791.08, 5,677.13 and 2,400.22 is: 3,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.08 : 5,677.13 = 2,400.22 : x
  2. Step 2: Convert to fraction form
    3,791.08/5,677.13 = 2,400.22/x
  3. Step 3: Cross multiply
    3,791.08x = 5,677.13 × 2,400.22
  4. Step 4: Simplify right side
    3,791.08x = 13,626,348.97
  5. Step 5: Solve for x
    x = 13,626,348.97/3,791.08
  6. Step 6: Final answer
    x = 3,594.32

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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.