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Finding the Fourth Proportional to 5,765.52, 7,954.20 and 3,640.44

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Solution

The fourth proportional to 5,765.52, 7,954.20 and 3,640.44 is: 5,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.52 : 7,954.20 = 3,640.44 : x
  2. Step 2: Convert to fraction form
    5,765.52/7,954.20 = 3,640.44/x
  3. Step 3: Cross multiply
    5,765.52x = 7,954.20 × 3,640.44
  4. Step 4: Simplify right side
    5,765.52x = 28,956,787.85
  5. Step 5: Solve for x
    x = 28,956,787.85/5,765.52
  6. Step 6: Final answer
    x = 5,022.41

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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.