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Finding the Fourth Proportional to 3,616.43, 5,418.63 and 2,297.84

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Solution

The fourth proportional to 3,616.43, 5,418.63 and 2,297.84 is: 3,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.43 : 5,418.63 = 2,297.84 : x
  2. Step 2: Convert to fraction form
    3,616.43/5,418.63 = 2,297.84/x
  3. Step 3: Cross multiply
    3,616.43x = 5,418.63 × 2,297.84
  4. Step 4: Simplify right side
    3,616.43x = 12,451,117.67
  5. Step 5: Solve for x
    x = 12,451,117.67/3,616.43
  6. Step 6: Final answer
    x = 3,442.94

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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.