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Finding the Fourth Proportional to 3,433.59, 5,149.17 and 1,353.51

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Solution

The fourth proportional to 3,433.59, 5,149.17 and 1,353.51 is: 2,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.59 : 5,149.17 = 1,353.51 : x
  2. Step 2: Convert to fraction form
    3,433.59/5,149.17 = 1,353.51/x
  3. Step 3: Cross multiply
    3,433.59x = 5,149.17 × 1,353.51
  4. Step 4: Simplify right side
    3,433.59x = 6,969,453.09
  5. Step 5: Solve for x
    x = 6,969,453.09/3,433.59
  6. Step 6: Final answer
    x = 2,029.79

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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.