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Finding the Fourth Proportional to 3,583.43, 5,369.67 and 2,801.58

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Solution

The fourth proportional to 3,583.43, 5,369.67 and 2,801.58 is: 4,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.43 : 5,369.67 = 2,801.58 : x
  2. Step 2: Convert to fraction form
    3,583.43/5,369.67 = 2,801.58/x
  3. Step 3: Cross multiply
    3,583.43x = 5,369.67 × 2,801.58
  4. Step 4: Simplify right side
    3,583.43x = 15,043,560.08
  5. Step 5: Solve for x
    x = 15,043,560.08/3,583.43
  6. Step 6: Final answer
    x = 4,198.09

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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.