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Finding the Fourth Proportional to 3,690.68, 5,535.72 and 1,469.43

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Solution

The fourth proportional to 3,690.68, 5,535.72 and 1,469.43 is: 2,204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.68 : 5,535.72 = 1,469.43 : x
  2. Step 2: Convert to fraction form
    3,690.68/5,535.72 = 1,469.43/x
  3. Step 3: Cross multiply
    3,690.68x = 5,535.72 × 1,469.43
  4. Step 4: Simplify right side
    3,690.68x = 8,134,353.04
  5. Step 5: Solve for x
    x = 8,134,353.04/3,690.68
  6. Step 6: Final answer
    x = 2,204.03

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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.