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Finding the Fourth Proportional to 6,718.80, 9,272.05 and 3,694.04

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Solution

The fourth proportional to 6,718.80, 9,272.05 and 3,694.04 is: 5,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.80 : 9,272.05 = 3,694.04 : x
  2. Step 2: Convert to fraction form
    6,718.80/9,272.05 = 3,694.04/x
  3. Step 3: Cross multiply
    6,718.80x = 9,272.05 × 3,694.04
  4. Step 4: Simplify right side
    6,718.80x = 34,251,361.84
  5. Step 5: Solve for x
    x = 34,251,361.84/6,718.80
  6. Step 6: Final answer
    x = 5,097.84

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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.