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Finding the Fourth Proportional to 8,589, 12,883.98 and 2,433.48

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Solution

The fourth proportional to 8,589, 12,883.98 and 2,433.48 is: 3,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589 : 12,883.98 = 2,433.48 : x
  2. Step 2: Convert to fraction form
    8,589/12,883.98 = 2,433.48/x
  3. Step 3: Cross multiply
    8,589x = 12,883.98 × 2,433.48
  4. Step 4: Simplify right side
    8,589x = 31,352,907.65
  5. Step 5: Solve for x
    x = 31,352,907.65/8,589
  6. Step 6: Final answer
    x = 3,650.36

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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.