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Finding the Fourth Proportional to 3,969,273.92, 5,946,398.16 and 2,345,185.76

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Solution

The fourth proportional to 3,969,273.92, 5,946,398.16 and 2,345,185.76 is: 3,513,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969,273.92 : 5,946,398.16 = 2,345,185.76 : x
  2. Step 2: Convert to fraction form
    3,969,273.92/5,946,398.16 = 2,345,185.76/x
  3. Step 3: Cross multiply
    3,969,273.92x = 5,946,398.16 × 2,345,185.76
  4. Step 4: Simplify right side
    3,969,273.92x = 13,945,408,288,122.20
  5. Step 5: Solve for x
    x = 13,945,408,288,122.20/3,969,273.92
  6. Step 6: Final answer
    x = 3,513,339.86

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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.