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Finding the Fourth Proportional to 5,309,801.91, 7,964,707.32 and 2,275,199.28

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Solution

The fourth proportional to 5,309,801.91, 7,964,707.32 and 2,275,199.28 is: 3,412,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309,801.91 : 7,964,707.32 = 2,275,199.28 : x
  2. Step 2: Convert to fraction form
    5,309,801.91/7,964,707.32 = 2,275,199.28/x
  3. Step 3: Cross multiply
    5,309,801.91x = 7,964,707.32 × 2,275,199.28
  4. Step 4: Simplify right side
    5,309,801.91x = 18,121,296,359,874.73
  5. Step 5: Solve for x
    x = 18,121,296,359,874.73/5,309,801.91
  6. Step 6: Final answer
    x = 3,412,800.83

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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.