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Finding the Fourth Proportional to 4,633.60, 6,393.66 and 2,644.30

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Solution

The fourth proportional to 4,633.60, 6,393.66 and 2,644.30 is: 3,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.60 : 6,393.66 = 2,644.30 : x
  2. Step 2: Convert to fraction form
    4,633.60/6,393.66 = 2,644.30/x
  3. Step 3: Cross multiply
    4,633.60x = 6,393.66 × 2,644.30
  4. Step 4: Simplify right side
    4,633.60x = 16,906,755.14
  5. Step 5: Solve for x
    x = 16,906,755.14/4,633.60
  6. Step 6: Final answer
    x = 3,648.73

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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.