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Finding the Fourth Proportional to 3,843,658.40, 5,760,649.20 and 1,950,922.40

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Solution

The fourth proportional to 3,843,658.40, 5,760,649.20 and 1,950,922.40 is: 2,923,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843,658.40 : 5,760,649.20 = 1,950,922.40 : x
  2. Step 2: Convert to fraction form
    3,843,658.40/5,760,649.20 = 1,950,922.40/x
  3. Step 3: Cross multiply
    3,843,658.40x = 5,760,649.20 × 1,950,922.40
  4. Step 4: Simplify right side
    3,843,658.40x = 11,238,579,562,822.08
  5. Step 5: Solve for x
    x = 11,238,579,562,822.08/3,843,658.40
  6. Step 6: Final answer
    x = 2,923,927.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.