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Finding the Fourth Proportional to 4,640.31, 6,962 and 3,086.43

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Solution

The fourth proportional to 4,640.31, 6,962 and 3,086.43 is: 4,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.31 : 6,962 = 3,086.43 : x
  2. Step 2: Convert to fraction form
    4,640.31/6,962 = 3,086.43/x
  3. Step 3: Cross multiply
    4,640.31x = 6,962 × 3,086.43
  4. Step 4: Simplify right side
    4,640.31x = 21,487,725.66
  5. Step 5: Solve for x
    x = 21,487,725.66/4,640.31
  6. Step 6: Final answer
    x = 4,630.67

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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.