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Finding the Fourth Proportional to 3,832.74, 5,744.28 and 2,077.74

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Solution

The fourth proportional to 3,832.74, 5,744.28 and 2,077.74 is: 3,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.74 : 5,744.28 = 2,077.74 : x
  2. Step 2: Convert to fraction form
    3,832.74/5,744.28 = 2,077.74/x
  3. Step 3: Cross multiply
    3,832.74x = 5,744.28 × 2,077.74
  4. Step 4: Simplify right side
    3,832.74x = 11,935,120.33
  5. Step 5: Solve for x
    x = 11,935,120.33/3,832.74
  6. Step 6: Final answer
    x = 3,113.99

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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.