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Finding the Fourth Proportional to 3,447.47, 5,172.07 and 1,107.69

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Solution

The fourth proportional to 3,447.47, 5,172.07 and 1,107.69 is: 1,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.47 : 5,172.07 = 1,107.69 : x
  2. Step 2: Convert to fraction form
    3,447.47/5,172.07 = 1,107.69/x
  3. Step 3: Cross multiply
    3,447.47x = 5,172.07 × 1,107.69
  4. Step 4: Simplify right side
    3,447.47x = 5,729,050.22
  5. Step 5: Solve for x
    x = 5,729,050.22/3,447.47
  6. Step 6: Final answer
    x = 1,661.81

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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.