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Finding the Fourth Proportional to 4,947.32, 6,827.24 and 2,709.20

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Solution

The fourth proportional to 4,947.32, 6,827.24 and 2,709.20 is: 3,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.32 : 6,827.24 = 2,709.20 : x
  2. Step 2: Convert to fraction form
    4,947.32/6,827.24 = 2,709.20/x
  3. Step 3: Cross multiply
    4,947.32x = 6,827.24 × 2,709.20
  4. Step 4: Simplify right side
    4,947.32x = 18,496,310.93
  5. Step 5: Solve for x
    x = 18,496,310.93/4,947.32
  6. Step 6: Final answer
    x = 3,738.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.