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Finding the Fourth Proportional to 4,947.15, 6,827.22 and 2,823

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Solution

The fourth proportional to 4,947.15, 6,827.22 and 2,823 is: 3,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.15 : 6,827.22 = 2,823 : x
  2. Step 2: Convert to fraction form
    4,947.15/6,827.22 = 2,823/x
  3. Step 3: Cross multiply
    4,947.15x = 6,827.22 × 2,823
  4. Step 4: Simplify right side
    4,947.15x = 19,273,242.06
  5. Step 5: Solve for x
    x = 19,273,242.06/4,947.15
  6. Step 6: Final answer
    x = 3,895.83

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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.