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Finding the Fourth Proportional to 3,971,982.30, 5,946,163.65 and 3,971,982.30

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Solution

The fourth proportional to 3,971,982.30, 5,946,163.65 and 3,971,982.30 is: 5,946,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971,982.30 : 5,946,163.65 = 3,971,982.30 : x
  2. Step 2: Convert to fraction form
    3,971,982.30/5,946,163.65 = 3,971,982.30/x
  3. Step 3: Cross multiply
    3,971,982.30x = 5,946,163.65 × 3,971,982.30
  4. Step 4: Simplify right side
    3,971,982.30x = 23,618,056,770,703.39
  5. Step 5: Solve for x
    x = 23,618,056,770,703.39/3,971,982.30
  6. Step 6: Final answer
    x = 5,946,163.65

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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.