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Finding the Fourth Proportional to 3,636.72, 5,452.86 and 1,446.48

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Solution

The fourth proportional to 3,636.72, 5,452.86 and 1,446.48 is: 2,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.72 : 5,452.86 = 1,446.48 : x
  2. Step 2: Convert to fraction form
    3,636.72/5,452.86 = 1,446.48/x
  3. Step 3: Cross multiply
    3,636.72x = 5,452.86 × 1,446.48
  4. Step 4: Simplify right side
    3,636.72x = 7,887,452.93
  5. Step 5: Solve for x
    x = 7,887,452.93/3,636.72
  6. Step 6: Final answer
    x = 2,168.84

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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.