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Finding the Fourth Proportional to 3,613.90, 5,422.20 and 1,424.20

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Solution

The fourth proportional to 3,613.90, 5,422.20 and 1,424.20 is: 2,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.90 : 5,422.20 = 1,424.20 : x
  2. Step 2: Convert to fraction form
    3,613.90/5,422.20 = 1,424.20/x
  3. Step 3: Cross multiply
    3,613.90x = 5,422.20 × 1,424.20
  4. Step 4: Simplify right side
    3,613.90x = 7,722,297.24
  5. Step 5: Solve for x
    x = 7,722,297.24/3,613.90
  6. Step 6: Final answer
    x = 2,136.83

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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.