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Finding the Fourth Proportional to 5,738.76, 7,919.56 and 3,221.41

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Solution

The fourth proportional to 5,738.76, 7,919.56 and 3,221.41 is: 4,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.76 : 7,919.56 = 3,221.41 : x
  2. Step 2: Convert to fraction form
    5,738.76/7,919.56 = 3,221.41/x
  3. Step 3: Cross multiply
    5,738.76x = 7,919.56 × 3,221.41
  4. Step 4: Simplify right side
    5,738.76x = 25,512,149.78
  5. Step 5: Solve for x
    x = 25,512,149.78/5,738.76
  6. Step 6: Final answer
    x = 4,445.59

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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.