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Finding the Fourth Proportional to 3,893.74, 5,371.72 and 2,321.53

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Solution

The fourth proportional to 3,893.74, 5,371.72 and 2,321.53 is: 3,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.74 : 5,371.72 = 2,321.53 : x
  2. Step 2: Convert to fraction form
    3,893.74/5,371.72 = 2,321.53/x
  3. Step 3: Cross multiply
    3,893.74x = 5,371.72 × 2,321.53
  4. Step 4: Simplify right side
    3,893.74x = 12,470,609.13
  5. Step 5: Solve for x
    x = 12,470,609.13/3,893.74
  6. Step 6: Final answer
    x = 3,202.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.