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Finding the Fourth Proportional to 4,181, 5,768.22 and 2,411.96

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Solution

The fourth proportional to 4,181, 5,768.22 and 2,411.96 is: 3,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181 : 5,768.22 = 2,411.96 : x
  2. Step 2: Convert to fraction form
    4,181/5,768.22 = 2,411.96/x
  3. Step 3: Cross multiply
    4,181x = 5,768.22 × 2,411.96
  4. Step 4: Simplify right side
    4,181x = 13,912,715.91
  5. Step 5: Solve for x
    x = 13,912,715.91/4,181
  6. Step 6: Final answer
    x = 3,327.60

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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.