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Finding the Fourth Proportional to 5,777,608.80, 7,973,095.20 and 3,199,289.52

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Solution

The fourth proportional to 5,777,608.80, 7,973,095.20 and 3,199,289.52 is: 4,415,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777,608.80 : 7,973,095.20 = 3,199,289.52 : x
  2. Step 2: Convert to fraction form
    5,777,608.80/7,973,095.20 = 3,199,289.52/x
  3. Step 3: Cross multiply
    5,777,608.80x = 7,973,095.20 × 3,199,289.52
  4. Step 4: Simplify right side
    5,777,608.80x = 25,508,239,915,322.30
  5. Step 5: Solve for x
    x = 25,508,239,915,322.30/5,777,608.80
  6. Step 6: Final answer
    x = 4,415,016.80

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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.