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Finding the Fourth Proportional to 5,668.42, 8,508.02 and 3,481.42

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Solution

The fourth proportional to 5,668.42, 8,508.02 and 3,481.42 is: 5,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.42 : 8,508.02 = 3,481.42 : x
  2. Step 2: Convert to fraction form
    5,668.42/8,508.02 = 3,481.42/x
  3. Step 3: Cross multiply
    5,668.42x = 8,508.02 × 3,481.42
  4. Step 4: Simplify right side
    5,668.42x = 29,619,990.99
  5. Step 5: Solve for x
    x = 29,619,990.99/5,668.42
  6. Step 6: Final answer
    x = 5,225.44

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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.