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Finding the Fourth Proportional to 4,067.52, 6,100.74 and 1,728.46

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Solution

The fourth proportional to 4,067.52, 6,100.74 and 1,728.46 is: 2,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.52 : 6,100.74 = 1,728.46 : x
  2. Step 2: Convert to fraction form
    4,067.52/6,100.74 = 1,728.46/x
  3. Step 3: Cross multiply
    4,067.52x = 6,100.74 × 1,728.46
  4. Step 4: Simplify right side
    4,067.52x = 10,544,885.06
  5. Step 5: Solve for x
    x = 10,544,885.06/4,067.52
  6. Step 6: Final answer
    x = 2,592.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.