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Finding the Fourth Proportional to 5,743.49, 8,613.41 and 2,233.26

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Solution

The fourth proportional to 5,743.49, 8,613.41 and 2,233.26 is: 3,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.49 : 8,613.41 = 2,233.26 : x
  2. Step 2: Convert to fraction form
    5,743.49/8,613.41 = 2,233.26/x
  3. Step 3: Cross multiply
    5,743.49x = 8,613.41 × 2,233.26
  4. Step 4: Simplify right side
    5,743.49x = 19,235,972.85
  5. Step 5: Solve for x
    x = 19,235,972.85/5,743.49
  6. Step 6: Final answer
    x = 3,349.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.