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Finding the Fourth Proportional to 5,548.57, 7,649.73 and 4,273.88

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Solution

The fourth proportional to 5,548.57, 7,649.73 and 4,273.88 is: 5,892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.57 : 7,649.73 = 4,273.88 : x
  2. Step 2: Convert to fraction form
    5,548.57/7,649.73 = 4,273.88/x
  3. Step 3: Cross multiply
    5,548.57x = 7,649.73 × 4,273.88
  4. Step 4: Simplify right side
    5,548.57x = 32,694,028.05
  5. Step 5: Solve for x
    x = 32,694,028.05/5,548.57
  6. Step 6: Final answer
    x = 5,892.33

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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.