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Finding the Fourth Proportional to 3,957.24, 5,936.58 and 1,359.54

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Solution

The fourth proportional to 3,957.24, 5,936.58 and 1,359.54 is: 2,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.24 : 5,936.58 = 1,359.54 : x
  2. Step 2: Convert to fraction form
    3,957.24/5,936.58 = 1,359.54/x
  3. Step 3: Cross multiply
    3,957.24x = 5,936.58 × 1,359.54
  4. Step 4: Simplify right side
    3,957.24x = 8,071,017.97
  5. Step 5: Solve for x
    x = 8,071,017.97/3,957.24
  6. Step 6: Final answer
    x = 2,039.56

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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.