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Finding the Fourth Proportional to 8,433.50, 12,649.64 and 2,589.75

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Solution

The fourth proportional to 8,433.50, 12,649.64 and 2,589.75 is: 3,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.50 : 12,649.64 = 2,589.75 : x
  2. Step 2: Convert to fraction form
    8,433.50/12,649.64 = 2,589.75/x
  3. Step 3: Cross multiply
    8,433.50x = 12,649.64 × 2,589.75
  4. Step 4: Simplify right side
    8,433.50x = 32,759,392.24
  5. Step 5: Solve for x
    x = 32,759,392.24/8,433.50
  6. Step 6: Final answer
    x = 3,884.44

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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.