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Finding the Fourth Proportional to 5,717.25, 8,571.25 and 5,255.93

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Solution

The fourth proportional to 5,717.25, 8,571.25 and 5,255.93 is: 7,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.25 : 8,571.25 = 5,255.93 : x
  2. Step 2: Convert to fraction form
    5,717.25/8,571.25 = 5,255.93/x
  3. Step 3: Cross multiply
    5,717.25x = 8,571.25 × 5,255.93
  4. Step 4: Simplify right side
    5,717.25x = 45,049,890.01
  5. Step 5: Solve for x
    x = 45,049,890.01/5,717.25
  6. Step 6: Final answer
    x = 7,879.64

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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.