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Finding the Fourth Proportional to 3,597.49, 5,396.25 and 2,209.45

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Solution

The fourth proportional to 3,597.49, 5,396.25 and 2,209.45 is: 3,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.49 : 5,396.25 = 2,209.45 : x
  2. Step 2: Convert to fraction form
    3,597.49/5,396.25 = 2,209.45/x
  3. Step 3: Cross multiply
    3,597.49x = 5,396.25 × 2,209.45
  4. Step 4: Simplify right side
    3,597.49x = 11,922,744.56
  5. Step 5: Solve for x
    x = 11,922,744.56/3,597.49
  6. Step 6: Final answer
    x = 3,314.18

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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.