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Finding the Fourth Proportional to 5,744,503.84, 8,616,974.46 and 2,149,892.32

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Solution

The fourth proportional to 5,744,503.84, 8,616,974.46 and 2,149,892.32 is: 3,224,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744,503.84 : 8,616,974.46 = 2,149,892.32 : x
  2. Step 2: Convert to fraction form
    5,744,503.84/8,616,974.46 = 2,149,892.32/x
  3. Step 3: Cross multiply
    5,744,503.84x = 8,616,974.46 × 2,149,892.32
  4. Step 4: Simplify right side
    5,744,503.84x = 18,525,567,213,190.15
  5. Step 5: Solve for x
    x = 18,525,567,213,190.15/5,744,503.84
  6. Step 6: Final answer
    x = 3,224,920.33

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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.