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Finding the Fourth Proportional to 3,957.67, 5,936.46 and 1,649.17

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Solution

The fourth proportional to 3,957.67, 5,936.46 and 1,649.17 is: 2,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.67 : 5,936.46 = 1,649.17 : x
  2. Step 2: Convert to fraction form
    3,957.67/5,936.46 = 1,649.17/x
  3. Step 3: Cross multiply
    3,957.67x = 5,936.46 × 1,649.17
  4. Step 4: Simplify right side
    3,957.67x = 9,790,231.74
  5. Step 5: Solve for x
    x = 9,790,231.74/3,957.67
  6. Step 6: Final answer
    x = 2,473.74

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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.