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Finding the Fourth Proportional to 5,738.50, 7,920.09 and 3,255.94

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Solution

The fourth proportional to 5,738.50, 7,920.09 and 3,255.94 is: 4,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.50 : 7,920.09 = 3,255.94 : x
  2. Step 2: Convert to fraction form
    5,738.50/7,920.09 = 3,255.94/x
  3. Step 3: Cross multiply
    5,738.50x = 7,920.09 × 3,255.94
  4. Step 4: Simplify right side
    5,738.50x = 25,787,337.83
  5. Step 5: Solve for x
    x = 25,787,337.83/5,738.50
  6. Step 6: Final answer
    x = 4,493.74

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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.