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Finding the Fourth Proportional to 4,505.47, 6,757.78 and 3,194.84

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Solution

The fourth proportional to 4,505.47, 6,757.78 and 3,194.84 is: 4,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.47 : 6,757.78 = 3,194.84 : x
  2. Step 2: Convert to fraction form
    4,505.47/6,757.78 = 3,194.84/x
  3. Step 3: Cross multiply
    4,505.47x = 6,757.78 × 3,194.84
  4. Step 4: Simplify right side
    4,505.47x = 21,590,025.86
  5. Step 5: Solve for x
    x = 21,590,025.86/4,505.47
  6. Step 6: Final answer
    x = 4,791.96

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