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Finding the Fourth Proportional to 3,662.39, 5,490.23 and 1,321.85

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Solution

The fourth proportional to 3,662.39, 5,490.23 and 1,321.85 is: 1,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.39 : 5,490.23 = 1,321.85 : x
  2. Step 2: Convert to fraction form
    3,662.39/5,490.23 = 1,321.85/x
  3. Step 3: Cross multiply
    3,662.39x = 5,490.23 × 1,321.85
  4. Step 4: Simplify right side
    3,662.39x = 7,257,226.47
  5. Step 5: Solve for x
    x = 7,257,226.47/3,662.39
  6. Step 6: Final answer
    x = 1,981.56

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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.