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Finding the Fourth Proportional to 3,764.34, 5,644.23 and 1,683.96

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Solution

The fourth proportional to 3,764.34, 5,644.23 and 1,683.96 is: 2,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.34 : 5,644.23 = 1,683.96 : x
  2. Step 2: Convert to fraction form
    3,764.34/5,644.23 = 1,683.96/x
  3. Step 3: Cross multiply
    3,764.34x = 5,644.23 × 1,683.96
  4. Step 4: Simplify right side
    3,764.34x = 9,504,620.91
  5. Step 5: Solve for x
    x = 9,504,620.91/3,764.34
  6. Step 6: Final answer
    x = 2,524.91

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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.