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Finding the Fourth Proportional to 3,186.21, 4,772.84 and 1,449.57

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Solution

The fourth proportional to 3,186.21, 4,772.84 and 1,449.57 is: 2,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.21 : 4,772.84 = 1,449.57 : x
  2. Step 2: Convert to fraction form
    3,186.21/4,772.84 = 1,449.57/x
  3. Step 3: Cross multiply
    3,186.21x = 4,772.84 × 1,449.57
  4. Step 4: Simplify right side
    3,186.21x = 6,918,558.43
  5. Step 5: Solve for x
    x = 6,918,558.43/3,186.21
  6. Step 6: Final answer
    x = 2,171.41

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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.