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Finding the Fourth Proportional to 3,861.75, 5,790.93 and 1,228.77

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Solution

The fourth proportional to 3,861.75, 5,790.93 and 1,228.77 is: 1,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.75 : 5,790.93 = 1,228.77 : x
  2. Step 2: Convert to fraction form
    3,861.75/5,790.93 = 1,228.77/x
  3. Step 3: Cross multiply
    3,861.75x = 5,790.93 × 1,228.77
  4. Step 4: Simplify right side
    3,861.75x = 7,115,721.06
  5. Step 5: Solve for x
    x = 7,115,721.06/3,861.75
  6. Step 6: Final answer
    x = 1,842.62

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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.