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Finding the Fourth Proportional to 5,284.56, 7,912.10 and 2,682.02

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Solution

The fourth proportional to 5,284.56, 7,912.10 and 2,682.02 is: 4,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.56 : 7,912.10 = 2,682.02 : x
  2. Step 2: Convert to fraction form
    5,284.56/7,912.10 = 2,682.02/x
  3. Step 3: Cross multiply
    5,284.56x = 7,912.10 × 2,682.02
  4. Step 4: Simplify right side
    5,284.56x = 21,220,410.44
  5. Step 5: Solve for x
    x = 21,220,410.44/5,284.56
  6. Step 6: Final answer
    x = 4,015.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.