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Finding the Fourth Proportional to 5,770.52, 7,963.35 and 3,286.52

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Solution

The fourth proportional to 5,770.52, 7,963.35 and 3,286.52 is: 4,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.52 : 7,963.35 = 3,286.52 : x
  2. Step 2: Convert to fraction form
    5,770.52/7,963.35 = 3,286.52/x
  3. Step 3: Cross multiply
    5,770.52x = 7,963.35 × 3,286.52
  4. Step 4: Simplify right side
    5,770.52x = 26,171,709.04
  5. Step 5: Solve for x
    x = 26,171,709.04/5,770.52
  6. Step 6: Final answer
    x = 4,535.42

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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.