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Finding the Fourth Proportional to 5,546.46, 7,654.19 and 3,028.54

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Solution

The fourth proportional to 5,546.46, 7,654.19 and 3,028.54 is: 4,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.46 : 7,654.19 = 3,028.54 : x
  2. Step 2: Convert to fraction form
    5,546.46/7,654.19 = 3,028.54/x
  3. Step 3: Cross multiply
    5,546.46x = 7,654.19 × 3,028.54
  4. Step 4: Simplify right side
    5,546.46x = 23,181,020.58
  5. Step 5: Solve for x
    x = 23,181,020.58/5,546.46
  6. Step 6: Final answer
    x = 4,179.43

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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.