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Finding the Fourth Proportional to 3,069.65, 4,232.84 and 2,819.94

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Solution

The fourth proportional to 3,069.65, 4,232.84 and 2,819.94 is: 3,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.65 : 4,232.84 = 2,819.94 : x
  2. Step 2: Convert to fraction form
    3,069.65/4,232.84 = 2,819.94/x
  3. Step 3: Cross multiply
    3,069.65x = 4,232.84 × 2,819.94
  4. Step 4: Simplify right side
    3,069.65x = 11,936,340.73
  5. Step 5: Solve for x
    x = 11,936,340.73/3,069.65
  6. Step 6: Final answer
    x = 3,888.51

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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.