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Finding the Fourth Proportional to 3,433.85, 5,150.73 and 836.79

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Solution

The fourth proportional to 3,433.85, 5,150.73 and 836.79 is: 1,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.85 : 5,150.73 = 836.79 : x
  2. Step 2: Convert to fraction form
    3,433.85/5,150.73 = 836.79/x
  3. Step 3: Cross multiply
    3,433.85x = 5,150.73 × 836.79
  4. Step 4: Simplify right side
    3,433.85x = 4,310,079.36
  5. Step 5: Solve for x
    x = 4,310,079.36/3,433.85
  6. Step 6: Final answer
    x = 1,255.17

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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.