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Finding the Fourth Proportional to 3,433.96, 5,150.94 and 836.89

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Solution

The fourth proportional to 3,433.96, 5,150.94 and 836.89 is: 1,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.96 : 5,150.94 = 836.89 : x
  2. Step 2: Convert to fraction form
    3,433.96/5,150.94 = 836.89/x
  3. Step 3: Cross multiply
    3,433.96x = 5,150.94 × 836.89
  4. Step 4: Simplify right side
    3,433.96x = 4,310,770.18
  5. Step 5: Solve for x
    x = 4,310,770.18/3,433.96
  6. Step 6: Final answer
    x = 1,255.34

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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.