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Finding the Fourth Proportional to 3,768.27, 5,650.36 and 1,302.89

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Solution

The fourth proportional to 3,768.27, 5,650.36 and 1,302.89 is: 1,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.27 : 5,650.36 = 1,302.89 : x
  2. Step 2: Convert to fraction form
    3,768.27/5,650.36 = 1,302.89/x
  3. Step 3: Cross multiply
    3,768.27x = 5,650.36 × 1,302.89
  4. Step 4: Simplify right side
    3,768.27x = 7,361,766.03
  5. Step 5: Solve for x
    x = 7,361,766.03/3,768.27
  6. Step 6: Final answer
    x = 1,953.62

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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.