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Finding the Fourth Proportional to 3,782.58, 5,219.86 and 2,103.96

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Solution

The fourth proportional to 3,782.58, 5,219.86 and 2,103.96 is: 2,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.58 : 5,219.86 = 2,103.96 : x
  2. Step 2: Convert to fraction form
    3,782.58/5,219.86 = 2,103.96/x
  3. Step 3: Cross multiply
    3,782.58x = 5,219.86 × 2,103.96
  4. Step 4: Simplify right side
    3,782.58x = 10,982,365.54
  5. Step 5: Solve for x
    x = 10,982,365.54/3,782.58
  6. Step 6: Final answer
    x = 2,903.40

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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.