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Finding the Fourth Proportional to 3,433.26, 5,149.89 and 836.18

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Solution

The fourth proportional to 3,433.26, 5,149.89 and 836.18 is: 1,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.26 : 5,149.89 = 836.18 : x
  2. Step 2: Convert to fraction form
    3,433.26/5,149.89 = 836.18/x
  3. Step 3: Cross multiply
    3,433.26x = 5,149.89 × 836.18
  4. Step 4: Simplify right side
    3,433.26x = 4,306,235.02
  5. Step 5: Solve for x
    x = 4,306,235.02/3,433.26
  6. Step 6: Final answer
    x = 1,254.27

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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.