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Finding the Fourth Proportional to 3,455.47, 5,183.21 and 1,146.97

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Solution

The fourth proportional to 3,455.47, 5,183.21 and 1,146.97 is: 1,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.47 : 5,183.21 = 1,146.97 : x
  2. Step 2: Convert to fraction form
    3,455.47/5,183.21 = 1,146.97/x
  3. Step 3: Cross multiply
    3,455.47x = 5,183.21 × 1,146.97
  4. Step 4: Simplify right side
    3,455.47x = 5,944,998.98
  5. Step 5: Solve for x
    x = 5,944,998.98/3,455.47
  6. Step 6: Final answer
    x = 1,720.46

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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.