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Finding the Fourth Proportional to 3,239.73, 4,469.71 and 1,964.02

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Solution

The fourth proportional to 3,239.73, 4,469.71 and 1,964.02 is: 2,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.73 : 4,469.71 = 1,964.02 : x
  2. Step 2: Convert to fraction form
    3,239.73/4,469.71 = 1,964.02/x
  3. Step 3: Cross multiply
    3,239.73x = 4,469.71 × 1,964.02
  4. Step 4: Simplify right side
    3,239.73x = 8,778,614.86
  5. Step 5: Solve for x
    x = 8,778,614.86/3,239.73
  6. Step 6: Final answer
    x = 2,709.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.