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Finding the Fourth Proportional to 5,797.23, 8,000.14 and 3,144.65

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Solution

The fourth proportional to 5,797.23, 8,000.14 and 3,144.65 is: 4,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.23 : 8,000.14 = 3,144.65 : x
  2. Step 2: Convert to fraction form
    5,797.23/8,000.14 = 3,144.65/x
  3. Step 3: Cross multiply
    5,797.23x = 8,000.14 × 3,144.65
  4. Step 4: Simplify right side
    5,797.23x = 25,157,584.53
  5. Step 5: Solve for x
    x = 25,157,584.53/5,797.23
  6. Step 6: Final answer
    x = 4,339.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.