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Finding the Fourth Proportional to 5,770.31, 7,963.50 and 3,252.29

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Solution

The fourth proportional to 5,770.31, 7,963.50 and 3,252.29 is: 4,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.31 : 7,963.50 = 3,252.29 : x
  2. Step 2: Convert to fraction form
    5,770.31/7,963.50 = 3,252.29/x
  3. Step 3: Cross multiply
    5,770.31x = 7,963.50 × 3,252.29
  4. Step 4: Simplify right side
    5,770.31x = 25,899,571.60
  5. Step 5: Solve for x
    x = 25,899,571.60/5,770.31
  6. Step 6: Final answer
    x = 4,488.42

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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.