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Finding the Fourth Proportional to 4,861.49, 6,709.36 and 2,974.33

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Solution

The fourth proportional to 4,861.49, 6,709.36 and 2,974.33 is: 4,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.49 : 6,709.36 = 2,974.33 : x
  2. Step 2: Convert to fraction form
    4,861.49/6,709.36 = 2,974.33/x
  3. Step 3: Cross multiply
    4,861.49x = 6,709.36 × 2,974.33
  4. Step 4: Simplify right side
    4,861.49x = 19,955,850.73
  5. Step 5: Solve for x
    x = 19,955,850.73/4,861.49
  6. Step 6: Final answer
    x = 4,104.88

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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.