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Finding the Fourth Proportional to 3,911.67, 5,861.99 and 2,059.05

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Solution

The fourth proportional to 3,911.67, 5,861.99 and 2,059.05 is: 3,085.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.67 : 5,861.99 = 2,059.05 : x
  2. Step 2: Convert to fraction form
    3,911.67/5,861.99 = 2,059.05/x
  3. Step 3: Cross multiply
    3,911.67x = 5,861.99 × 2,059.05
  4. Step 4: Simplify right side
    3,911.67x = 12,070,120.21
  5. Step 5: Solve for x
    x = 12,070,120.21/3,911.67
  6. Step 6: Final answer
    x = 3,085.67

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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.