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Finding the Fourth Proportional to 3,635.21, 5,452.14 and 966.82

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Solution

The fourth proportional to 3,635.21, 5,452.14 and 966.82 is: 1,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.21 : 5,452.14 = 966.82 : x
  2. Step 2: Convert to fraction form
    3,635.21/5,452.14 = 966.82/x
  3. Step 3: Cross multiply
    3,635.21x = 5,452.14 × 966.82
  4. Step 4: Simplify right side
    3,635.21x = 5,271,237.99
  5. Step 5: Solve for x
    x = 5,271,237.99/3,635.21
  6. Step 6: Final answer
    x = 1,450.05

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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.