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Finding the Fourth Proportional to 5,467.87, 8,203.03 and 1,571.97

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Solution

The fourth proportional to 5,467.87, 8,203.03 and 1,571.97 is: 2,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.87 : 8,203.03 = 1,571.97 : x
  2. Step 2: Convert to fraction form
    5,467.87/8,203.03 = 1,571.97/x
  3. Step 3: Cross multiply
    5,467.87x = 8,203.03 × 1,571.97
  4. Step 4: Simplify right side
    5,467.87x = 12,894,943.90
  5. Step 5: Solve for x
    x = 12,894,943.90/5,467.87
  6. Step 6: Final answer
    x = 2,358.31

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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.