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Finding the Fourth Proportional to 5,694.91, 8,542.06 and 1,799.02

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Solution

The fourth proportional to 5,694.91, 8,542.06 and 1,799.02 is: 2,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.91 : 8,542.06 = 1,799.02 : x
  2. Step 2: Convert to fraction form
    5,694.91/8,542.06 = 1,799.02/x
  3. Step 3: Cross multiply
    5,694.91x = 8,542.06 × 1,799.02
  4. Step 4: Simplify right side
    5,694.91x = 15,367,305.03
  5. Step 5: Solve for x
    x = 15,367,305.03/5,694.91
  6. Step 6: Final answer
    x = 2,698.43

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1.5x scale

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.