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Finding the Fourth Proportional to 4,942.76, 6,820.81 and 2,847.56

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Solution

The fourth proportional to 4,942.76, 6,820.81 and 2,847.56 is: 3,929.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.76 : 6,820.81 = 2,847.56 : x
  2. Step 2: Convert to fraction form
    4,942.76/6,820.81 = 2,847.56/x
  3. Step 3: Cross multiply
    4,942.76x = 6,820.81 × 2,847.56
  4. Step 4: Simplify right side
    4,942.76x = 19,422,624.50
  5. Step 5: Solve for x
    x = 19,422,624.50/4,942.76
  6. Step 6: Final answer
    x = 3,929.51

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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.