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Finding the Fourth Proportional to 4,305.04, 5,946.72 and 3,469

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Solution

The fourth proportional to 4,305.04, 5,946.72 and 3,469 is: 4,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.04 : 5,946.72 = 3,469 : x
  2. Step 2: Convert to fraction form
    4,305.04/5,946.72 = 3,469/x
  3. Step 3: Cross multiply
    4,305.04x = 5,946.72 × 3,469
  4. Step 4: Simplify right side
    4,305.04x = 20,629,171.68
  5. Step 5: Solve for x
    x = 20,629,171.68/4,305.04
  6. Step 6: Final answer
    x = 4,791.87

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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.