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Finding the Fourth Proportional to 4,181, 5,769.98 and 2,318

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Solution

The fourth proportional to 4,181, 5,769.98 and 2,318 is: 3,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181 : 5,769.98 = 2,318 : x
  2. Step 2: Convert to fraction form
    4,181/5,769.98 = 2,318/x
  3. Step 3: Cross multiply
    4,181x = 5,769.98 × 2,318
  4. Step 4: Simplify right side
    4,181x = 13,374,813.64
  5. Step 5: Solve for x
    x = 13,374,813.64/4,181
  6. Step 6: Final answer
    x = 3,198.95

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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.