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Finding the Fourth Proportional to 5,546.88, 7,654.92 and 3,029.16

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Solution

The fourth proportional to 5,546.88, 7,654.92 and 3,029.16 is: 4,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.88 : 7,654.92 = 3,029.16 : x
  2. Step 2: Convert to fraction form
    5,546.88/7,654.92 = 3,029.16/x
  3. Step 3: Cross multiply
    5,546.88x = 7,654.92 × 3,029.16
  4. Step 4: Simplify right side
    5,546.88x = 23,187,977.47
  5. Step 5: Solve for x
    x = 23,187,977.47/5,546.88
  6. Step 6: Final answer
    x = 4,180.36

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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.