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Finding the Fourth Proportional to 4,141.92, 6,212.46 and 1,369.05

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Solution

The fourth proportional to 4,141.92, 6,212.46 and 1,369.05 is: 2,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.92 : 6,212.46 = 1,369.05 : x
  2. Step 2: Convert to fraction form
    4,141.92/6,212.46 = 1,369.05/x
  3. Step 3: Cross multiply
    4,141.92x = 6,212.46 × 1,369.05
  4. Step 4: Simplify right side
    4,141.92x = 8,505,168.36
  5. Step 5: Solve for x
    x = 8,505,168.36/4,141.92
  6. Step 6: Final answer
    x = 2,053.44

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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.