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Finding the Fourth Proportional to 5,782,466.25, 7,979,978.39 and 3,203,905.77

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Solution

The fourth proportional to 5,782,466.25, 7,979,978.39 and 3,203,905.77 is: 4,421,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782,466.25 : 7,979,978.39 = 3,203,905.77 : x
  2. Step 2: Convert to fraction form
    5,782,466.25/7,979,978.39 = 3,203,905.77/x
  3. Step 3: Cross multiply
    5,782,466.25x = 7,979,978.39 × 3,203,905.77
  4. Step 4: Simplify right side
    5,782,466.25x = 25,567,098,792,176.78
  5. Step 5: Solve for x
    x = 25,567,098,792,176.78/5,782,466.25
  6. Step 6: Final answer
    x = 4,421,486.90

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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.