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Finding the Fourth Proportional to 5,546.84, 7,654.76 and 3,028.96

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Solution

The fourth proportional to 5,546.84, 7,654.76 and 3,028.96 is: 4,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.84 : 7,654.76 = 3,028.96 : x
  2. Step 2: Convert to fraction form
    5,546.84/7,654.76 = 3,028.96/x
  3. Step 3: Cross multiply
    5,546.84x = 7,654.76 × 3,028.96
  4. Step 4: Simplify right side
    5,546.84x = 23,185,961.85
  5. Step 5: Solve for x
    x = 23,185,961.85/5,546.84
  6. Step 6: Final answer
    x = 4,180.03

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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.