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Finding the Fourth Proportional to 4,855.75, 7,284.90 and 1,736.07

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Solution

The fourth proportional to 4,855.75, 7,284.90 and 1,736.07 is: 2,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.75 : 7,284.90 = 1,736.07 : x
  2. Step 2: Convert to fraction form
    4,855.75/7,284.90 = 1,736.07/x
  3. Step 3: Cross multiply
    4,855.75x = 7,284.90 × 1,736.07
  4. Step 4: Simplify right side
    4,855.75x = 12,647,075.53
  5. Step 5: Solve for x
    x = 12,647,075.53/4,855.75
  6. Step 6: Final answer
    x = 2,604.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.