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Finding the Fourth Proportional to 5,770.88, 7,963.85 and 3,382.26

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Solution

The fourth proportional to 5,770.88, 7,963.85 and 3,382.26 is: 4,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.88 : 7,963.85 = 3,382.26 : x
  2. Step 2: Convert to fraction form
    5,770.88/7,963.85 = 3,382.26/x
  3. Step 3: Cross multiply
    5,770.88x = 7,963.85 × 3,382.26
  4. Step 4: Simplify right side
    5,770.88x = 26,935,794.39
  5. Step 5: Solve for x
    x = 26,935,794.39/5,770.88
  6. Step 6: Final answer
    x = 4,667.54

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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.