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Finding the Fourth Proportional to 3,433.11, 5,149.66 and 836.02

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Solution

The fourth proportional to 3,433.11, 5,149.66 and 836.02 is: 1,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.11 : 5,149.66 = 836.02 : x
  2. Step 2: Convert to fraction form
    3,433.11/5,149.66 = 836.02/x
  3. Step 3: Cross multiply
    3,433.11x = 5,149.66 × 836.02
  4. Step 4: Simplify right side
    3,433.11x = 4,305,218.75
  5. Step 5: Solve for x
    x = 4,305,218.75/3,433.11
  6. Step 6: Final answer
    x = 1,254.03

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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.