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Finding the Fourth Proportional to 4,945.68, 6,824.88 and 2,850.12

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Solution

The fourth proportional to 4,945.68, 6,824.88 and 2,850.12 is: 3,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.68 : 6,824.88 = 2,850.12 : x
  2. Step 2: Convert to fraction form
    4,945.68/6,824.88 = 2,850.12/x
  3. Step 3: Cross multiply
    4,945.68x = 6,824.88 × 2,850.12
  4. Step 4: Simplify right side
    4,945.68x = 19,451,726.99
  5. Step 5: Solve for x
    x = 19,451,726.99/4,945.68
  6. Step 6: Final answer
    x = 3,933.07

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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.