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Finding the Fourth Proportional to 3,832.43, 5,744.43 and 2,185.34

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Solution

The fourth proportional to 3,832.43, 5,744.43 and 2,185.34 is: 3,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.43 : 5,744.43 = 2,185.34 : x
  2. Step 2: Convert to fraction form
    3,832.43/5,744.43 = 2,185.34/x
  3. Step 3: Cross multiply
    3,832.43x = 5,744.43 × 2,185.34
  4. Step 4: Simplify right side
    3,832.43x = 12,553,503.93
  5. Step 5: Solve for x
    x = 12,553,503.93/3,832.43
  6. Step 6: Final answer
    x = 3,275.60

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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.