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Finding the Fourth Proportional to 4,181, 5,770.14 and 2,318.36

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Solution

The fourth proportional to 4,181, 5,770.14 and 2,318.36 is: 3,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181 : 5,770.14 = 2,318.36 : x
  2. Step 2: Convert to fraction form
    4,181/5,770.14 = 2,318.36/x
  3. Step 3: Cross multiply
    4,181x = 5,770.14 × 2,318.36
  4. Step 4: Simplify right side
    4,181x = 13,377,261.77
  5. Step 5: Solve for x
    x = 13,377,261.77/4,181
  6. Step 6: Final answer
    x = 3,199.54

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