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Finding the Fourth Proportional to 4,947.62, 6,827.74 and 2,709.70

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Solution

The fourth proportional to 4,947.62, 6,827.74 and 2,709.70 is: 3,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.62 : 6,827.74 = 2,709.70 : x
  2. Step 2: Convert to fraction form
    4,947.62/6,827.74 = 2,709.70/x
  3. Step 3: Cross multiply
    4,947.62x = 6,827.74 × 2,709.70
  4. Step 4: Simplify right side
    4,947.62x = 18,501,092.94
  5. Step 5: Solve for x
    x = 18,501,092.94/4,947.62
  6. Step 6: Final answer
    x = 3,739.40

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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.