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Finding the Fourth Proportional to 3,838,906.78, 5,733,471.94 and 3,478,357.96

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Solution

The fourth proportional to 3,838,906.78, 5,733,471.94 and 3,478,357.96 is: 5,194,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,906.78 : 5,733,471.94 = 3,478,357.96 : x
  2. Step 2: Convert to fraction form
    3,838,906.78/5,733,471.94 = 3,478,357.96/x
  3. Step 3: Cross multiply
    3,838,906.78x = 5,733,471.94 × 3,478,357.96
  4. Step 4: Simplify right side
    3,838,906.78x = 19,943,067,737,906.07
  5. Step 5: Solve for x
    x = 19,943,067,737,906.07/3,838,906.78
  6. Step 6: Final answer
    x = 5,194,986.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.