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Finding the Fourth Proportional to 4,161.41, 5,734.10 and 2,832.81

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Solution

The fourth proportional to 4,161.41, 5,734.10 and 2,832.81 is: 3,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.41 : 5,734.10 = 2,832.81 : x
  2. Step 2: Convert to fraction form
    4,161.41/5,734.10 = 2,832.81/x
  3. Step 3: Cross multiply
    4,161.41x = 5,734.10 × 2,832.81
  4. Step 4: Simplify right side
    4,161.41x = 16,243,601.66
  5. Step 5: Solve for x
    x = 16,243,601.66/4,161.41
  6. Step 6: Final answer
    x = 3,903.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.