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Finding the Fourth Proportional to 3,975.92, 5,964.00 and 2,000.47

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Solution

The fourth proportional to 3,975.92, 5,964.00 and 2,000.47 is: 3,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.92 : 5,964.00 = 2,000.47 : x
  2. Step 2: Convert to fraction form
    3,975.92/5,964.00 = 2,000.47/x
  3. Step 3: Cross multiply
    3,975.92x = 5,964.00 × 2,000.47
  4. Step 4: Simplify right side
    3,975.92x = 11,930,763.26
  5. Step 5: Solve for x
    x = 11,930,763.26/3,975.92
  6. Step 6: Final answer
    x = 3,000.76

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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.