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Finding the Fourth Proportional to 3,912.57, 5,867.83 and 1,448.10

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Solution

The fourth proportional to 3,912.57, 5,867.83 and 1,448.10 is: 2,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.57 : 5,867.83 = 1,448.10 : x
  2. Step 2: Convert to fraction form
    3,912.57/5,867.83 = 1,448.10/x
  3. Step 3: Cross multiply
    3,912.57x = 5,867.83 × 1,448.10
  4. Step 4: Simplify right side
    3,912.57x = 8,497,204.62
  5. Step 5: Solve for x
    x = 8,497,204.62/3,912.57
  6. Step 6: Final answer
    x = 2,171.77

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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.