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Finding the Fourth Proportional to 5,786,469.86, 7,985,587.64 and 3,305,907.45

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Solution

The fourth proportional to 5,786,469.86, 7,985,587.64 and 3,305,907.45 is: 4,562,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786,469.86 : 7,985,587.64 = 3,305,907.45 : x
  2. Step 2: Convert to fraction form
    5,786,469.86/7,985,587.64 = 3,305,907.45/x
  3. Step 3: Cross multiply
    5,786,469.86x = 7,985,587.64 × 3,305,907.45
  4. Step 4: Simplify right side
    5,786,469.86x = 26,399,613,655,174.38
  5. Step 5: Solve for x
    x = 26,399,613,655,174.38/5,786,469.86
  6. Step 6: Final answer
    x = 4,562,300.39

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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.