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Finding the Fourth Proportional to 5,723.44, 8,589 and 2,025.65

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Solution

The fourth proportional to 5,723.44, 8,589 and 2,025.65 is: 3,039.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.44 : 8,589 = 2,025.65 : x
  2. Step 2: Convert to fraction form
    5,723.44/8,589 = 2,025.65/x
  3. Step 3: Cross multiply
    5,723.44x = 8,589 × 2,025.65
  4. Step 4: Simplify right side
    5,723.44x = 17,398,307.85
  5. Step 5: Solve for x
    x = 17,398,307.85/5,723.44
  6. Step 6: Final answer
    x = 3,039.83

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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.