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Finding the Fourth Proportional to 3,633.66, 5,449.41 and 1,325.34

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Solution

The fourth proportional to 3,633.66, 5,449.41 and 1,325.34 is: 1,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.66 : 5,449.41 = 1,325.34 : x
  2. Step 2: Convert to fraction form
    3,633.66/5,449.41 = 1,325.34/x
  3. Step 3: Cross multiply
    3,633.66x = 5,449.41 × 1,325.34
  4. Step 4: Simplify right side
    3,633.66x = 7,222,321.05
  5. Step 5: Solve for x
    x = 7,222,321.05/3,633.66
  6. Step 6: Final answer
    x = 1,987.62

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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.