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Finding the Fourth Proportional to 5,796.09, 8,694.09 and 2,098.29

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Solution

The fourth proportional to 5,796.09, 8,694.09 and 2,098.29 is: 3,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.09 : 8,694.09 = 2,098.29 : x
  2. Step 2: Convert to fraction form
    5,796.09/8,694.09 = 2,098.29/x
  3. Step 3: Cross multiply
    5,796.09x = 8,694.09 × 2,098.29
  4. Step 4: Simplify right side
    5,796.09x = 18,242,722.11
  5. Step 5: Solve for x
    x = 18,242,722.11/5,796.09
  6. Step 6: Final answer
    x = 3,147.42

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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.