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Finding the Fourth Proportional to 3,782.30, 5,219.03 and 2,103.62

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Solution

The fourth proportional to 3,782.30, 5,219.03 and 2,103.62 is: 2,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.30 : 5,219.03 = 2,103.62 : x
  2. Step 2: Convert to fraction form
    3,782.30/5,219.03 = 2,103.62/x
  3. Step 3: Cross multiply
    3,782.30x = 5,219.03 × 2,103.62
  4. Step 4: Simplify right side
    3,782.30x = 10,978,835.05
  5. Step 5: Solve for x
    x = 10,978,835.05/3,782.30
  6. Step 6: Final answer
    x = 2,902.69

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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.