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Finding the Fourth Proportional to 5,759.82, 7,942.77 and 5,447.61

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Solution

The fourth proportional to 5,759.82, 7,942.77 and 5,447.61 is: 7,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.82 : 7,942.77 = 5,447.61 : x
  2. Step 2: Convert to fraction form
    5,759.82/7,942.77 = 5,447.61/x
  3. Step 3: Cross multiply
    5,759.82x = 7,942.77 × 5,447.61
  4. Step 4: Simplify right side
    5,759.82x = 43,269,113.28
  5. Step 5: Solve for x
    x = 43,269,113.28/5,759.82
  6. Step 6: Final answer
    x = 7,512.23

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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.