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Finding the Fourth Proportional to 4,900, 6,762.30 and 2,775.73

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Solution

The fourth proportional to 4,900, 6,762.30 and 2,775.73 is: 3,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900 : 6,762.30 = 2,775.73 : x
  2. Step 2: Convert to fraction form
    4,900/6,762.30 = 2,775.73/x
  3. Step 3: Cross multiply
    4,900x = 6,762.30 × 2,775.73
  4. Step 4: Simplify right side
    4,900x = 18,770,318.98
  5. Step 5: Solve for x
    x = 18,770,318.98/4,900
  6. Step 6: Final answer
    x = 3,830.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.