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Finding the Fourth Proportional to 3,644.43, 5,466.59 and 2,000.08

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Solution

The fourth proportional to 3,644.43, 5,466.59 and 2,000.08 is: 3,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.43 : 5,466.59 = 2,000.08 : x
  2. Step 2: Convert to fraction form
    3,644.43/5,466.59 = 2,000.08/x
  3. Step 3: Cross multiply
    3,644.43x = 5,466.59 × 2,000.08
  4. Step 4: Simplify right side
    3,644.43x = 10,933,613.97
  5. Step 5: Solve for x
    x = 10,933,613.97/3,644.43
  6. Step 6: Final answer
    x = 3,000.09

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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.