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Finding the Fourth Proportional to 5,733.26, 7,913.31 and 3,496.37

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Solution

The fourth proportional to 5,733.26, 7,913.31 and 3,496.37 is: 4,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.26 : 7,913.31 = 3,496.37 : x
  2. Step 2: Convert to fraction form
    5,733.26/7,913.31 = 3,496.37/x
  3. Step 3: Cross multiply
    5,733.26x = 7,913.31 × 3,496.37
  4. Step 4: Simplify right side
    5,733.26x = 27,667,859.68
  5. Step 5: Solve for x
    x = 27,667,859.68/5,733.26
  6. Step 6: Final answer
    x = 4,825.85

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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.