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Finding the Fourth Proportional to 4,218,892.86, 5,822,073.80 and 2,285,147.46

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Solution

The fourth proportional to 4,218,892.86, 5,822,073.80 and 2,285,147.46 is: 3,153,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218,892.86 : 5,822,073.80 = 2,285,147.46 : x
  2. Step 2: Convert to fraction form
    4,218,892.86/5,822,073.80 = 2,285,147.46/x
  3. Step 3: Cross multiply
    4,218,892.86x = 5,822,073.80 × 2,285,147.46
  4. Step 4: Simplify right side
    4,218,892.86x = 13,304,297,187,832.85
  5. Step 5: Solve for x
    x = 13,304,297,187,832.85/4,218,892.86
  6. Step 6: Final answer
    x = 3,153,504.39

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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.