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Finding the Fourth Proportional to 3,694.76, 5,098.74 and 2,016.17

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Solution

The fourth proportional to 3,694.76, 5,098.74 and 2,016.17 is: 2,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.76 : 5,098.74 = 2,016.17 : x
  2. Step 2: Convert to fraction form
    3,694.76/5,098.74 = 2,016.17/x
  3. Step 3: Cross multiply
    3,694.76x = 5,098.74 × 2,016.17
  4. Step 4: Simplify right side
    3,694.76x = 10,279,891.05
  5. Step 5: Solve for x
    x = 10,279,891.05/3,694.76
  6. Step 6: Final answer
    x = 2,782.29

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1.5x scale

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.