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Finding the Fourth Proportional to 4,099.41, 6,150.38 and 1,728.72

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Solution

The fourth proportional to 4,099.41, 6,150.38 and 1,728.72 is: 2,593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.41 : 6,150.38 = 1,728.72 : x
  2. Step 2: Convert to fraction form
    4,099.41/6,150.38 = 1,728.72/x
  3. Step 3: Cross multiply
    4,099.41x = 6,150.38 × 1,728.72
  4. Step 4: Simplify right side
    4,099.41x = 10,632,276.27
  5. Step 5: Solve for x
    x = 10,632,276.27/4,099.41
  6. Step 6: Final answer
    x = 2,593.61

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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.