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Finding the Fourth Proportional to 3,472.94, 5,215.62 and 3,194.79

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Solution

The fourth proportional to 3,472.94, 5,215.62 and 3,194.79 is: 4,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.94 : 5,215.62 = 3,194.79 : x
  2. Step 2: Convert to fraction form
    3,472.94/5,215.62 = 3,194.79/x
  3. Step 3: Cross multiply
    3,472.94x = 5,215.62 × 3,194.79
  4. Step 4: Simplify right side
    3,472.94x = 16,662,810.62
  5. Step 5: Solve for x
    x = 16,662,810.62/3,472.94
  6. Step 6: Final answer
    x = 4,797.90

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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.