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Finding the Fourth Proportional to 4,640.90, 6,404.67 and 2,960.96

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Solution

The fourth proportional to 4,640.90, 6,404.67 and 2,960.96 is: 4,086.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.90 : 6,404.67 = 2,960.96 : x
  2. Step 2: Convert to fraction form
    4,640.90/6,404.67 = 2,960.96/x
  3. Step 3: Cross multiply
    4,640.90x = 6,404.67 × 2,960.96
  4. Step 4: Simplify right side
    4,640.90x = 18,963,939.66
  5. Step 5: Solve for x
    x = 18,963,939.66/4,640.90
  6. Step 6: Final answer
    x = 4,086.27

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