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Finding the Fourth Proportional to 3,797.65, 5,694.50 and 1,716.66

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Solution

The fourth proportional to 3,797.65, 5,694.50 and 1,716.66 is: 2,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.65 : 5,694.50 = 1,716.66 : x
  2. Step 2: Convert to fraction form
    3,797.65/5,694.50 = 1,716.66/x
  3. Step 3: Cross multiply
    3,797.65x = 5,694.50 × 1,716.66
  4. Step 4: Simplify right side
    3,797.65x = 9,775,524.66
  5. Step 5: Solve for x
    x = 9,775,524.66/3,797.65
  6. Step 6: Final answer
    x = 2,574.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.