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Finding the Fourth Proportional to 3,832.13, 5,744.32 and 1,490.68

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Solution

The fourth proportional to 3,832.13, 5,744.32 and 1,490.68 is: 2,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.13 : 5,744.32 = 1,490.68 : x
  2. Step 2: Convert to fraction form
    3,832.13/5,744.32 = 1,490.68/x
  3. Step 3: Cross multiply
    3,832.13x = 5,744.32 × 1,490.68
  4. Step 4: Simplify right side
    3,832.13x = 8,562,922.46
  5. Step 5: Solve for x
    x = 8,562,922.46/3,832.13
  6. Step 6: Final answer
    x = 2,234.51

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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.