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Finding the Fourth Proportional to 5,668.18, 8,499 and 2,201.38

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Solution

The fourth proportional to 5,668.18, 8,499 and 2,201.38 is: 3,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.18 : 8,499 = 2,201.38 : x
  2. Step 2: Convert to fraction form
    5,668.18/8,499 = 2,201.38/x
  3. Step 3: Cross multiply
    5,668.18x = 8,499 × 2,201.38
  4. Step 4: Simplify right side
    5,668.18x = 18,709,528.62
  5. Step 5: Solve for x
    x = 18,709,528.62/5,668.18
  6. Step 6: Final answer
    x = 3,300.80

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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.