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Finding the Fourth Proportional to 3,416.68, 4,694.56 and 2,716.84

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Solution

The fourth proportional to 3,416.68, 4,694.56 and 2,716.84 is: 3,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.68 : 4,694.56 = 2,716.84 : x
  2. Step 2: Convert to fraction form
    3,416.68/4,694.56 = 2,716.84/x
  3. Step 3: Cross multiply
    3,416.68x = 4,694.56 × 2,716.84
  4. Step 4: Simplify right side
    3,416.68x = 12,754,368.39
  5. Step 5: Solve for x
    x = 12,754,368.39/3,416.68
  6. Step 6: Final answer
    x = 3,732.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.