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Finding the Fourth Proportional to 4,961.88, 7,446.42 and 3,999.60

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Solution

The fourth proportional to 4,961.88, 7,446.42 and 3,999.60 is: 6,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.88 : 7,446.42 = 3,999.60 : x
  2. Step 2: Convert to fraction form
    4,961.88/7,446.42 = 3,999.60/x
  3. Step 3: Cross multiply
    4,961.88x = 7,446.42 × 3,999.60
  4. Step 4: Simplify right side
    4,961.88x = 29,782,701.43
  5. Step 5: Solve for x
    x = 29,782,701.43/4,961.88
  6. Step 6: Final answer
    x = 6,002.30

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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.