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Finding the Fourth Proportional to 3,960.63, 5,942.36 and 1,363.77

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Solution

The fourth proportional to 3,960.63, 5,942.36 and 1,363.77 is: 2,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.63 : 5,942.36 = 1,363.77 : x
  2. Step 2: Convert to fraction form
    3,960.63/5,942.36 = 1,363.77/x
  3. Step 3: Cross multiply
    3,960.63x = 5,942.36 × 1,363.77
  4. Step 4: Simplify right side
    3,960.63x = 8,104,012.30
  5. Step 5: Solve for x
    x = 8,104,012.30/3,960.63
  6. Step 6: Final answer
    x = 2,046.14

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Why These Related Problems?

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