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Finding the Fourth Proportional to 5,644,194.12, 7,789,002.66 and 3,065,853.96

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Solution

The fourth proportional to 5,644,194.12, 7,789,002.66 and 3,065,853.96 is: 4,230,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644,194.12 : 7,789,002.66 = 3,065,853.96 : x
  2. Step 2: Convert to fraction form
    5,644,194.12/7,789,002.66 = 3,065,853.96/x
  3. Step 3: Cross multiply
    5,644,194.12x = 7,789,002.66 × 3,065,853.96
  4. Step 4: Simplify right side
    5,644,194.12x = 23,879,944,649,611.54
  5. Step 5: Solve for x
    x = 23,879,944,649,611.54/5,644,194.12
  6. Step 6: Final answer
    x = 4,230,886.49

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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.