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Finding the Fourth Proportional to 5,546.58, 7,654.17 and 3,028.71

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Solution

The fourth proportional to 5,546.58, 7,654.17 and 3,028.71 is: 4,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.58 : 7,654.17 = 3,028.71 : x
  2. Step 2: Convert to fraction form
    5,546.58/7,654.17 = 3,028.71/x
  3. Step 3: Cross multiply
    5,546.58x = 7,654.17 × 3,028.71
  4. Step 4: Simplify right side
    5,546.58x = 23,182,261.22
  5. Step 5: Solve for x
    x = 23,182,261.22/5,546.58
  6. Step 6: Final answer
    x = 4,179.56

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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.