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Finding the Fourth Proportional to 3,613.62, 5,412.52 and 2,149.54

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Solution

The fourth proportional to 3,613.62, 5,412.52 and 2,149.54 is: 3,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.62 : 5,412.52 = 2,149.54 : x
  2. Step 2: Convert to fraction form
    3,613.62/5,412.52 = 2,149.54/x
  3. Step 3: Cross multiply
    3,613.62x = 5,412.52 × 2,149.54
  4. Step 4: Simplify right side
    3,613.62x = 11,634,428.24
  5. Step 5: Solve for x
    x = 11,634,428.24/3,613.62
  6. Step 6: Final answer
    x = 3,219.60

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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.