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Finding the Fourth Proportional to 3,782.01, 5,219.22 and 2,103.60

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Solution

The fourth proportional to 3,782.01, 5,219.22 and 2,103.60 is: 2,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.01 : 5,219.22 = 2,103.60 : x
  2. Step 2: Convert to fraction form
    3,782.01/5,219.22 = 2,103.60/x
  3. Step 3: Cross multiply
    3,782.01x = 5,219.22 × 2,103.60
  4. Step 4: Simplify right side
    3,782.01x = 10,979,151.19
  5. Step 5: Solve for x
    x = 10,979,151.19/3,782.01
  6. Step 6: Final answer
    x = 2,902.99

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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.