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Finding the Fourth Proportional to 3,971.33, 5,957.21 and 1,049.56

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Solution

The fourth proportional to 3,971.33, 5,957.21 and 1,049.56 is: 1,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.33 : 5,957.21 = 1,049.56 : x
  2. Step 2: Convert to fraction form
    3,971.33/5,957.21 = 1,049.56/x
  3. Step 3: Cross multiply
    3,971.33x = 5,957.21 × 1,049.56
  4. Step 4: Simplify right side
    3,971.33x = 6,252,414.29
  5. Step 5: Solve for x
    x = 6,252,414.29/3,971.33
  6. Step 6: Final answer
    x = 1,574.39

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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.