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Finding the Fourth Proportional to 4,528.54, 6,794.75 and 2,450

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Solution

The fourth proportional to 4,528.54, 6,794.75 and 2,450 is: 3,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,528.54 : 6,794.75 = 2,450 : x
  2. Step 2: Convert to fraction form
    4,528.54/6,794.75 = 2,450/x
  3. Step 3: Cross multiply
    4,528.54x = 6,794.75 × 2,450
  4. Step 4: Simplify right side
    4,528.54x = 16,647,137.50
  5. Step 5: Solve for x
    x = 16,647,137.50/4,528.54
  6. Step 6: Final answer
    x = 3,676.05

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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.