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Finding the Fourth Proportional to 3,697.47, 5,544.36 and 1,231.43

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Solution

The fourth proportional to 3,697.47, 5,544.36 and 1,231.43 is: 1,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.47 : 5,544.36 = 1,231.43 : x
  2. Step 2: Convert to fraction form
    3,697.47/5,544.36 = 1,231.43/x
  3. Step 3: Cross multiply
    3,697.47x = 5,544.36 × 1,231.43
  4. Step 4: Simplify right side
    3,697.47x = 6,827,491.23
  5. Step 5: Solve for x
    x = 6,827,491.23/3,697.47
  6. Step 6: Final answer
    x = 1,846.53

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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.