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Finding the Fourth Proportional to 3,791.44, 5,678.52 and 3,728.08

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Solution

The fourth proportional to 3,791.44, 5,678.52 and 3,728.08 is: 5,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.44 : 5,678.52 = 3,728.08 : x
  2. Step 2: Convert to fraction form
    3,791.44/5,678.52 = 3,728.08/x
  3. Step 3: Cross multiply
    3,791.44x = 5,678.52 × 3,728.08
  4. Step 4: Simplify right side
    3,791.44x = 21,169,976.84
  5. Step 5: Solve for x
    x = 21,169,976.84/3,791.44
  6. Step 6: Final answer
    x = 5,583.62

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Why These Related Problems?

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