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Finding the Fourth Proportional to 4,947.09, 6,827.81 and 2,823

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Solution

The fourth proportional to 4,947.09, 6,827.81 and 2,823 is: 3,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.09 : 6,827.81 = 2,823 : x
  2. Step 2: Convert to fraction form
    4,947.09/6,827.81 = 2,823/x
  3. Step 3: Cross multiply
    4,947.09x = 6,827.81 × 2,823
  4. Step 4: Simplify right side
    4,947.09x = 19,274,893.52
  5. Step 5: Solve for x
    x = 19,274,893.52/4,947.09
  6. Step 6: Final answer
    x = 3,896.21

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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.