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Finding the Fourth Proportional to 3,957.92, 5,936.88 and 1,766.12

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Solution

The fourth proportional to 3,957.92, 5,936.88 and 1,766.12 is: 2,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.92 : 5,936.88 = 1,766.12 : x
  2. Step 2: Convert to fraction form
    3,957.92/5,936.88 = 1,766.12/x
  3. Step 3: Cross multiply
    3,957.92x = 5,936.88 × 1,766.12
  4. Step 4: Simplify right side
    3,957.92x = 10,485,242.51
  5. Step 5: Solve for x
    x = 10,485,242.51/3,957.92
  6. Step 6: Final answer
    x = 2,649.18

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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.