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Finding the Fourth Proportional to 3,694.71, 5,098.66 and 2,016.10

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Solution

The fourth proportional to 3,694.71, 5,098.66 and 2,016.10 is: 2,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.71 : 5,098.66 = 2,016.10 : x
  2. Step 2: Convert to fraction form
    3,694.71/5,098.66 = 2,016.10/x
  3. Step 3: Cross multiply
    3,694.71x = 5,098.66 × 2,016.10
  4. Step 4: Simplify right side
    3,694.71x = 10,279,392.38
  5. Step 5: Solve for x
    x = 10,279,392.38/3,694.71
  6. Step 6: Final answer
    x = 2,782.20

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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.