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Finding the Fourth Proportional to 5,781,691.26, 7,978,400.64 and 3,203,218.26

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Solution

The fourth proportional to 5,781,691.26, 7,978,400.64 and 3,203,218.26 is: 4,420,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781,691.26 : 7,978,400.64 = 3,203,218.26 : x
  2. Step 2: Convert to fraction form
    5,781,691.26/7,978,400.64 = 3,203,218.26/x
  3. Step 3: Cross multiply
    5,781,691.26x = 7,978,400.64 × 3,203,218.26
  4. Step 4: Simplify right side
    5,781,691.26x = 25,556,558,615,643.68
  5. Step 5: Solve for x
    x = 25,556,558,615,643.68/5,781,691.26
  6. Step 6: Final answer
    x = 4,420,256.54

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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.