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Finding the Fourth Proportional to 3,433.46, 5,150.20 and 836.38

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Solution

The fourth proportional to 3,433.46, 5,150.20 and 836.38 is: 1,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.46 : 5,150.20 = 836.38 : x
  2. Step 2: Convert to fraction form
    3,433.46/5,150.20 = 836.38/x
  3. Step 3: Cross multiply
    3,433.46x = 5,150.20 × 836.38
  4. Step 4: Simplify right side
    3,433.46x = 4,307,524.28
  5. Step 5: Solve for x
    x = 4,307,524.28/3,433.46
  6. Step 6: Final answer
    x = 1,254.57

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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.