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Finding the Fourth Proportional to 5,261.60, 7,876.20 and 4,322

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Solution

The fourth proportional to 5,261.60, 7,876.20 and 4,322 is: 6,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.60 : 7,876.20 = 4,322 : x
  2. Step 2: Convert to fraction form
    5,261.60/7,876.20 = 4,322/x
  3. Step 3: Cross multiply
    5,261.60x = 7,876.20 × 4,322
  4. Step 4: Simplify right side
    5,261.60x = 34,040,936.40
  5. Step 5: Solve for x
    x = 34,040,936.40/5,261.60
  6. Step 6: Final answer
    x = 6,469.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.