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Finding the Fourth Proportional to 4,226.40, 6,344.40 and 2,277.60

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Solution

The fourth proportional to 4,226.40, 6,344.40 and 2,277.60 is: 3,418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.40 : 6,344.40 = 2,277.60 : x
  2. Step 2: Convert to fraction form
    4,226.40/6,344.40 = 2,277.60/x
  3. Step 3: Cross multiply
    4,226.40x = 6,344.40 × 2,277.60
  4. Step 4: Simplify right side
    4,226.40x = 14,450,005.44
  5. Step 5: Solve for x
    x = 14,450,005.44/4,226.40
  6. Step 6: Final answer
    x = 3,418.99

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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.