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Finding the Fourth Proportional to 3,589, 5,376.48 and 2,352.64

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Solution

The fourth proportional to 3,589, 5,376.48 and 2,352.64 is: 3,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589 : 5,376.48 = 2,352.64 : x
  2. Step 2: Convert to fraction form
    3,589/5,376.48 = 2,352.64/x
  3. Step 3: Cross multiply
    3,589x = 5,376.48 × 2,352.64
  4. Step 4: Simplify right side
    3,589x = 12,648,921.91
  5. Step 5: Solve for x
    x = 12,648,921.91/3,589
  6. Step 6: Final answer
    x = 3,524.36

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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.