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Finding the Fourth Proportional to 4,684.38, 6,463.80 and 2,694.22

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Solution

The fourth proportional to 4,684.38, 6,463.80 and 2,694.22 is: 3,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.38 : 6,463.80 = 2,694.22 : x
  2. Step 2: Convert to fraction form
    4,684.38/6,463.80 = 2,694.22/x
  3. Step 3: Cross multiply
    4,684.38x = 6,463.80 × 2,694.22
  4. Step 4: Simplify right side
    4,684.38x = 17,414,899.24
  5. Step 5: Solve for x
    x = 17,414,899.24/4,684.38
  6. Step 6: Final answer
    x = 3,717.65

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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.