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Finding the Fourth Proportional to 3,861.95, 5,790.83 and 1,361.88

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Solution

The fourth proportional to 3,861.95, 5,790.83 and 1,361.88 is: 2,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.95 : 5,790.83 = 1,361.88 : x
  2. Step 2: Convert to fraction form
    3,861.95/5,790.83 = 1,361.88/x
  3. Step 3: Cross multiply
    3,861.95x = 5,790.83 × 1,361.88
  4. Step 4: Simplify right side
    3,861.95x = 7,886,408.75
  5. Step 5: Solve for x
    x = 7,886,408.75/3,861.95
  6. Step 6: Final answer
    x = 2,042.08

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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.