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Finding the Fourth Proportional to 5,842,843.92, 8,063,542.09 and 3,229,291.78

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Solution

The fourth proportional to 5,842,843.92, 8,063,542.09 and 3,229,291.78 is: 4,456,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842,843.92 : 8,063,542.09 = 3,229,291.78 : x
  2. Step 2: Convert to fraction form
    5,842,843.92/8,063,542.09 = 3,229,291.78/x
  3. Step 3: Cross multiply
    5,842,843.92x = 8,063,542.09 × 3,229,291.78
  4. Step 4: Simplify right side
    5,842,843.92x = 26,039,530,146,572.89
  5. Step 5: Solve for x
    x = 26,039,530,146,572.89/5,842,843.92
  6. Step 6: Final answer
    x = 4,456,653.39

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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.