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Finding the Fourth Proportional to 3,219.95, 4,822.63 and 2,522.27

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Solution

The fourth proportional to 3,219.95, 4,822.63 and 2,522.27 is: 3,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.95 : 4,822.63 = 2,522.27 : x
  2. Step 2: Convert to fraction form
    3,219.95/4,822.63 = 2,522.27/x
  3. Step 3: Cross multiply
    3,219.95x = 4,822.63 × 2,522.27
  4. Step 4: Simplify right side
    3,219.95x = 12,163,974.97
  5. Step 5: Solve for x
    x = 12,163,974.97/3,219.95
  6. Step 6: Final answer
    x = 3,777.69

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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.