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Finding the Fourth Proportional to 3,697.21, 5,543.94 and 1,231.17

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Solution

The fourth proportional to 3,697.21, 5,543.94 and 1,231.17 is: 1,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.21 : 5,543.94 = 1,231.17 : x
  2. Step 2: Convert to fraction form
    3,697.21/5,543.94 = 1,231.17/x
  3. Step 3: Cross multiply
    3,697.21x = 5,543.94 × 1,231.17
  4. Step 4: Simplify right side
    3,697.21x = 6,825,516.44
  5. Step 5: Solve for x
    x = 6,825,516.44/3,697.21
  6. Step 6: Final answer
    x = 1,846.13

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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.