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Finding the Fourth Proportional to 5,467.76, 7,546.34 and 3,982.43

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Solution

The fourth proportional to 5,467.76, 7,546.34 and 3,982.43 is: 5,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.76 : 7,546.34 = 3,982.43 : x
  2. Step 2: Convert to fraction form
    5,467.76/7,546.34 = 3,982.43/x
  3. Step 3: Cross multiply
    5,467.76x = 7,546.34 × 3,982.43
  4. Step 4: Simplify right side
    5,467.76x = 30,052,770.81
  5. Step 5: Solve for x
    x = 30,052,770.81/5,467.76
  6. Step 6: Final answer
    x = 5,496.36

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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.