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Finding the Fourth Proportional to 5,694.85, 8,542.99 and 2,231.65

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Solution

The fourth proportional to 5,694.85, 8,542.99 and 2,231.65 is: 3,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.85 : 8,542.99 = 2,231.65 : x
  2. Step 2: Convert to fraction form
    5,694.85/8,542.99 = 2,231.65/x
  3. Step 3: Cross multiply
    5,694.85x = 8,542.99 × 2,231.65
  4. Step 4: Simplify right side
    5,694.85x = 19,064,945.07
  5. Step 5: Solve for x
    x = 19,064,945.07/5,694.85
  6. Step 6: Final answer
    x = 3,347.75

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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.