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Finding the Fourth Proportional to 5,489.99, 8,234.89 and 1,329.97

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Solution

The fourth proportional to 5,489.99, 8,234.89 and 1,329.97 is: 1,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.99 : 8,234.89 = 1,329.97 : x
  2. Step 2: Convert to fraction form
    5,489.99/8,234.89 = 1,329.97/x
  3. Step 3: Cross multiply
    5,489.99x = 8,234.89 × 1,329.97
  4. Step 4: Simplify right side
    5,489.99x = 10,952,156.65
  5. Step 5: Solve for x
    x = 10,952,156.65/5,489.99
  6. Step 6: Final answer
    x = 1,994.93

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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.