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Finding the Fourth Proportional to 3,793.63, 5,690.49 and 1,328.44

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Solution

The fourth proportional to 3,793.63, 5,690.49 and 1,328.44 is: 1,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.63 : 5,690.49 = 1,328.44 : x
  2. Step 2: Convert to fraction form
    3,793.63/5,690.49 = 1,328.44/x
  3. Step 3: Cross multiply
    3,793.63x = 5,690.49 × 1,328.44
  4. Step 4: Simplify right side
    3,793.63x = 7,559,474.54
  5. Step 5: Solve for x
    x = 7,559,474.54/3,793.63
  6. Step 6: Final answer
    x = 1,992.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.