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Finding the Fourth Proportional to 5,563.17, 7,668.99 and 4,234.57

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Solution

The fourth proportional to 5,563.17, 7,668.99 and 4,234.57 is: 5,837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.17 : 7,668.99 = 4,234.57 : x
  2. Step 2: Convert to fraction form
    5,563.17/7,668.99 = 4,234.57/x
  3. Step 3: Cross multiply
    5,563.17x = 7,668.99 × 4,234.57
  4. Step 4: Simplify right side
    5,563.17x = 32,474,874.98
  5. Step 5: Solve for x
    x = 32,474,874.98/5,563.17
  6. Step 6: Final answer
    x = 5,837.48

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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.