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Finding the Fourth Proportional to 3,961.06, 5,942.93 and 1,496.59

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Solution

The fourth proportional to 3,961.06, 5,942.93 and 1,496.59 is: 2,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.06 : 5,942.93 = 1,496.59 : x
  2. Step 2: Convert to fraction form
    3,961.06/5,942.93 = 1,496.59/x
  3. Step 3: Cross multiply
    3,961.06x = 5,942.93 × 1,496.59
  4. Step 4: Simplify right side
    3,961.06x = 8,894,129.61
  5. Step 5: Solve for x
    x = 8,894,129.61/3,961.06
  6. Step 6: Final answer
    x = 2,245.39

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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.