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Finding the Fourth Proportional to 4,099.71, 6,149.97 and 1,633.95

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Solution

The fourth proportional to 4,099.71, 6,149.97 and 1,633.95 is: 2,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.71 : 6,149.97 = 1,633.95 : x
  2. Step 2: Convert to fraction form
    4,099.71/6,149.97 = 1,633.95/x
  3. Step 3: Cross multiply
    4,099.71x = 6,149.97 × 1,633.95
  4. Step 4: Simplify right side
    4,099.71x = 10,048,743.48
  5. Step 5: Solve for x
    x = 10,048,743.48/4,099.71
  6. Step 6: Final answer
    x = 2,451.09

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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.