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Finding the Fourth Proportional to 3,782.53, 5,219.77 and 2,103.99

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Solution

The fourth proportional to 3,782.53, 5,219.77 and 2,103.99 is: 2,903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.53 : 5,219.77 = 2,103.99 : x
  2. Step 2: Convert to fraction form
    3,782.53/5,219.77 = 2,103.99/x
  3. Step 3: Cross multiply
    3,782.53x = 5,219.77 × 2,103.99
  4. Step 4: Simplify right side
    3,782.53x = 10,982,343.88
  5. Step 5: Solve for x
    x = 10,982,343.88/3,782.53
  6. Step 6: Final answer
    x = 2,903.44

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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.