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Finding the Fourth Proportional to 5,398.24, 8,100.46 and 2,278

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Solution

The fourth proportional to 5,398.24, 8,100.46 and 2,278 is: 3,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.24 : 8,100.46 = 2,278 : x
  2. Step 2: Convert to fraction form
    5,398.24/8,100.46 = 2,278/x
  3. Step 3: Cross multiply
    5,398.24x = 8,100.46 × 2,278
  4. Step 4: Simplify right side
    5,398.24x = 18,452,847.88
  5. Step 5: Solve for x
    x = 18,452,847.88/5,398.24
  6. Step 6: Final answer
    x = 3,418.31

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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.