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Finding the Fourth Proportional to 3,653.59, 5,474.62 and 2,193.43

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Solution

The fourth proportional to 3,653.59, 5,474.62 and 2,193.43 is: 3,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.59 : 5,474.62 = 2,193.43 : x
  2. Step 2: Convert to fraction form
    3,653.59/5,474.62 = 2,193.43/x
  3. Step 3: Cross multiply
    3,653.59x = 5,474.62 × 2,193.43
  4. Step 4: Simplify right side
    3,653.59x = 12,008,195.75
  5. Step 5: Solve for x
    x = 12,008,195.75/3,653.59
  6. Step 6: Final answer
    x = 3,286.68

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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.