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Finding the Fourth Proportional to 4,947.49, 6,827.57 and 2,709.57

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Solution

The fourth proportional to 4,947.49, 6,827.57 and 2,709.57 is: 3,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.49 : 6,827.57 = 2,709.57 : x
  2. Step 2: Convert to fraction form
    4,947.49/6,827.57 = 2,709.57/x
  3. Step 3: Cross multiply
    4,947.49x = 6,827.57 × 2,709.57
  4. Step 4: Simplify right side
    4,947.49x = 18,499,775.46
  5. Step 5: Solve for x
    x = 18,499,775.46/4,947.49
  6. Step 6: Final answer
    x = 3,739.23

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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.