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Finding the Fourth Proportional to 4,932.38, 6,806.84 and 2,694.39

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Solution

The fourth proportional to 4,932.38, 6,806.84 and 2,694.39 is: 3,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.38 : 6,806.84 = 2,694.39 : x
  2. Step 2: Convert to fraction form
    4,932.38/6,806.84 = 2,694.39/x
  3. Step 3: Cross multiply
    4,932.38x = 6,806.84 × 2,694.39
  4. Step 4: Simplify right side
    4,932.38x = 18,340,281.63
  5. Step 5: Solve for x
    x = 18,340,281.63/4,932.38
  6. Step 6: Final answer
    x = 3,718.34

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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.