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Finding the Fourth Proportional to 3,340.97, 5,010.24 and 1,149.11

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Solution

The fourth proportional to 3,340.97, 5,010.24 and 1,149.11 is: 1,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.97 : 5,010.24 = 1,149.11 : x
  2. Step 2: Convert to fraction form
    3,340.97/5,010.24 = 1,149.11/x
  3. Step 3: Cross multiply
    3,340.97x = 5,010.24 × 1,149.11
  4. Step 4: Simplify right side
    3,340.97x = 5,757,316.89
  5. Step 5: Solve for x
    x = 5,757,316.89/3,340.97
  6. Step 6: Final answer
    x = 1,723.25

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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.