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Finding the Fourth Proportional to 3,633.55, 5,449.33 and 1,000.42

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Solution

The fourth proportional to 3,633.55, 5,449.33 and 1,000.42 is: 1,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.55 : 5,449.33 = 1,000.42 : x
  2. Step 2: Convert to fraction form
    3,633.55/5,449.33 = 1,000.42/x
  3. Step 3: Cross multiply
    3,633.55x = 5,449.33 × 1,000.42
  4. Step 4: Simplify right side
    3,633.55x = 5,451,618.72
  5. Step 5: Solve for x
    x = 5,451,618.72/3,633.55
  6. Step 6: Final answer
    x = 1,500.36

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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.