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Finding the Fourth Proportional to 3,858,906.49, 5,786,484.28 and 1,162,729.15

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Solution

The fourth proportional to 3,858,906.49, 5,786,484.28 and 1,162,729.15 is: 1,743,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858,906.49 : 5,786,484.28 = 1,162,729.15 : x
  2. Step 2: Convert to fraction form
    3,858,906.49/5,786,484.28 = 1,162,729.15/x
  3. Step 3: Cross multiply
    3,858,906.49x = 5,786,484.28 × 1,162,729.15
  4. Step 4: Simplify right side
    3,858,906.49x = 6,728,113,930,999.73
  5. Step 5: Solve for x
    x = 6,728,113,930,999.73/3,858,906.49
  6. Step 6: Final answer
    x = 1,743,528.63

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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.