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Finding the Fourth Proportional to 5,694.26, 8,542.20 and 1,798.26

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Solution

The fourth proportional to 5,694.26, 8,542.20 and 1,798.26 is: 2,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.26 : 8,542.20 = 1,798.26 : x
  2. Step 2: Convert to fraction form
    5,694.26/8,542.20 = 1,798.26/x
  3. Step 3: Cross multiply
    5,694.26x = 8,542.20 × 1,798.26
  4. Step 4: Simplify right side
    5,694.26x = 15,361,096.57
  5. Step 5: Solve for x
    x = 15,361,096.57/5,694.26
  6. Step 6: Final answer
    x = 2,697.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.