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Finding the Fourth Proportional to 5,755.39, 7,942.35 and 3,365.89

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Solution

The fourth proportional to 5,755.39, 7,942.35 and 3,365.89 is: 4,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.39 : 7,942.35 = 3,365.89 : x
  2. Step 2: Convert to fraction form
    5,755.39/7,942.35 = 3,365.89/x
  3. Step 3: Cross multiply
    5,755.39x = 7,942.35 × 3,365.89
  4. Step 4: Simplify right side
    5,755.39x = 26,733,076.44
  5. Step 5: Solve for x
    x = 26,733,076.44/5,755.39
  6. Step 6: Final answer
    x = 4,644.88

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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.