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Finding the Fourth Proportional to 3,433.23, 5,149.80 and 836.19

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Solution

The fourth proportional to 3,433.23, 5,149.80 and 836.19 is: 1,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.23 : 5,149.80 = 836.19 : x
  2. Step 2: Convert to fraction form
    3,433.23/5,149.80 = 836.19/x
  3. Step 3: Cross multiply
    3,433.23x = 5,149.80 × 836.19
  4. Step 4: Simplify right side
    3,433.23x = 4,306,211.26
  5. Step 5: Solve for x
    x = 4,306,211.26/3,433.23
  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.