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Finding the Fourth Proportional to 3,633.21, 5,449.14 and 964.82

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Solution

The fourth proportional to 3,633.21, 5,449.14 and 964.82 is: 1,447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.21 : 5,449.14 = 964.82 : x
  2. Step 2: Convert to fraction form
    3,633.21/5,449.14 = 964.82/x
  3. Step 3: Cross multiply
    3,633.21x = 5,449.14 × 964.82
  4. Step 4: Simplify right side
    3,633.21x = 5,257,412.01
  5. Step 5: Solve for x
    x = 5,257,412.01/3,633.21
  6. Step 6: Final answer
    x = 1,447.04

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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.