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Finding the Fourth Proportional to 5,709.91, 8,552.69 and 2,743.99

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Solution

The fourth proportional to 5,709.91, 8,552.69 and 2,743.99 is: 4,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.91 : 8,552.69 = 2,743.99 : x
  2. Step 2: Convert to fraction form
    5,709.91/8,552.69 = 2,743.99/x
  3. Step 3: Cross multiply
    5,709.91x = 8,552.69 × 2,743.99
  4. Step 4: Simplify right side
    5,709.91x = 23,468,460.73
  5. Step 5: Solve for x
    x = 23,468,460.73/5,709.91
  6. Step 6: Final answer
    x = 4,110.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.