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Finding the Fourth Proportional to 3,829,687.56, 5,744,677.14 and 1,433,279.88

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Solution

The fourth proportional to 3,829,687.56, 5,744,677.14 and 1,433,279.88 is: 2,149,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,687.56 : 5,744,677.14 = 1,433,279.88 : x
  2. Step 2: Convert to fraction form
    3,829,687.56/5,744,677.14 = 1,433,279.88/x
  3. Step 3: Cross multiply
    3,829,687.56x = 5,744,677.14 × 1,433,279.88
  4. Step 4: Simplify right side
    3,829,687.56x = 8,233,730,161,857.94
  5. Step 5: Solve for x
    x = 8,233,730,161,857.94/3,829,687.56
  6. Step 6: Final answer
    x = 2,149,974.39

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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.