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Finding the Fourth Proportional to 5,446, 7,515.60 and 2,962

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Solution

The fourth proportional to 5,446, 7,515.60 and 2,962 is: 4,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446 : 7,515.60 = 2,962 : x
  2. Step 2: Convert to fraction form
    5,446/7,515.60 = 2,962/x
  3. Step 3: Cross multiply
    5,446x = 7,515.60 × 2,962
  4. Step 4: Simplify right side
    5,446x = 22,261,207.20
  5. Step 5: Solve for x
    x = 22,261,207.20/5,446
  6. Step 6: Final answer
    x = 4,087.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.