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Finding the Fourth Proportional to 5,343.50, 7,374.84 and 3,247.22

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Solution

The fourth proportional to 5,343.50, 7,374.84 and 3,247.22 is: 4,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.50 : 7,374.84 = 3,247.22 : x
  2. Step 2: Convert to fraction form
    5,343.50/7,374.84 = 3,247.22/x
  3. Step 3: Cross multiply
    5,343.50x = 7,374.84 × 3,247.22
  4. Step 4: Simplify right side
    5,343.50x = 23,947,727.94
  5. Step 5: Solve for x
    x = 23,947,727.94/5,343.50
  6. Step 6: Final answer
    x = 4,481.66

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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.