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Finding the Fourth Proportional to 3,791, 5,231.88 and 2,112.68

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Solution

The fourth proportional to 3,791, 5,231.88 and 2,112.68 is: 2,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791 : 5,231.88 = 2,112.68 : x
  2. Step 2: Convert to fraction form
    3,791/5,231.88 = 2,112.68/x
  3. Step 3: Cross multiply
    3,791x = 5,231.88 × 2,112.68
  4. Step 4: Simplify right side
    3,791x = 11,053,288.24
  5. Step 5: Solve for x
    x = 11,053,288.24/3,791
  6. Step 6: Final answer
    x = 2,915.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.