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Finding the Fourth Proportional to 4,906.97, 6,769.23 and 2,916.11

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Solution

The fourth proportional to 4,906.97, 6,769.23 and 2,916.11 is: 4,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.97 : 6,769.23 = 2,916.11 : x
  2. Step 2: Convert to fraction form
    4,906.97/6,769.23 = 2,916.11/x
  3. Step 3: Cross multiply
    4,906.97x = 6,769.23 × 2,916.11
  4. Step 4: Simplify right side
    4,906.97x = 19,739,836.22
  5. Step 5: Solve for x
    x = 19,739,836.22/4,906.97
  6. Step 6: Final answer
    x = 4,022.82

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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.