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Finding the Fourth Proportional to 5,627,874.12, 7,766,493.22 and 3,049,559.48

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Solution

The fourth proportional to 5,627,874.12, 7,766,493.22 and 3,049,559.48 is: 4,208,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627,874.12 : 7,766,493.22 = 3,049,559.48 : x
  2. Step 2: Convert to fraction form
    5,627,874.12/7,766,493.22 = 3,049,559.48/x
  3. Step 3: Cross multiply
    5,627,874.12x = 7,766,493.22 × 3,049,559.48
  4. Step 4: Simplify right side
    5,627,874.12x = 23,684,383,025,406.73
  5. Step 5: Solve for x
    x = 23,684,383,025,406.73/5,627,874.12
  6. Step 6: Final answer
    x = 4,208,406.68

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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.