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Finding the Fourth Proportional to 3,662.09, 5,494.31 and 1,322.08

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Solution

The fourth proportional to 3,662.09, 5,494.31 and 1,322.08 is: 1,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.09 : 5,494.31 = 1,322.08 : x
  2. Step 2: Convert to fraction form
    3,662.09/5,494.31 = 1,322.08/x
  3. Step 3: Cross multiply
    3,662.09x = 5,494.31 × 1,322.08
  4. Step 4: Simplify right side
    3,662.09x = 7,263,901.98
  5. Step 5: Solve for x
    x = 7,263,901.98/3,662.09
  6. Step 6: Final answer
    x = 1,983.54

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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.