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Finding the Fourth Proportional to 5,777,384.38, 7,972,693.08 and 3,199,009.80

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Solution

The fourth proportional to 5,777,384.38, 7,972,693.08 and 3,199,009.80 is: 4,414,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777,384.38 : 7,972,693.08 = 3,199,009.80 : x
  2. Step 2: Convert to fraction form
    5,777,384.38/7,972,693.08 = 3,199,009.80/x
  3. Step 3: Cross multiply
    5,777,384.38x = 7,972,693.08 × 3,199,009.80
  4. Step 4: Simplify right side
    5,777,384.38x = 25,504,723,295,358.75
  5. Step 5: Solve for x
    x = 25,504,723,295,358.75/5,777,384.38
  6. Step 6: Final answer
    x = 4,414,579.61

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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.