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Finding the Fourth Proportional to 3,628.62, 5,442.84 and 2,906.91

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Solution

The fourth proportional to 3,628.62, 5,442.84 and 2,906.91 is: 4,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.62 : 5,442.84 = 2,906.91 : x
  2. Step 2: Convert to fraction form
    3,628.62/5,442.84 = 2,906.91/x
  3. Step 3: Cross multiply
    3,628.62x = 5,442.84 × 2,906.91
  4. Step 4: Simplify right side
    3,628.62x = 15,821,846.02
  5. Step 5: Solve for x
    x = 15,821,846.02/3,628.62
  6. Step 6: Final answer
    x = 4,360.29

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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.