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Finding the Fourth Proportional to 3,597.62, 5,396.42 and 2,136.43

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Solution

The fourth proportional to 3,597.62, 5,396.42 and 2,136.43 is: 3,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.62 : 5,396.42 = 2,136.43 : x
  2. Step 2: Convert to fraction form
    3,597.62/5,396.42 = 2,136.43/x
  3. Step 3: Cross multiply
    3,597.62x = 5,396.42 × 2,136.43
  4. Step 4: Simplify right side
    3,597.62x = 11,529,055.31
  5. Step 5: Solve for x
    x = 11,529,055.31/3,597.62
  6. Step 6: Final answer
    x = 3,204.64

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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.