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Finding the Fourth Proportional to 3,976.71, 5,962.92 and 3,049.98

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Solution

The fourth proportional to 3,976.71, 5,962.92 and 3,049.98 is: 4,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.71 : 5,962.92 = 3,049.98 : x
  2. Step 2: Convert to fraction form
    3,976.71/5,962.92 = 3,049.98/x
  3. Step 3: Cross multiply
    3,976.71x = 5,962.92 × 3,049.98
  4. Step 4: Simplify right side
    3,976.71x = 18,186,786.74
  5. Step 5: Solve for x
    x = 18,186,786.74/3,976.71
  6. Step 6: Final answer
    x = 4,573.32

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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.