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Finding the Fourth Proportional to 3,963.65, 5,951.48 and 3,148.54

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Solution

The fourth proportional to 3,963.65, 5,951.48 and 3,148.54 is: 4,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.65 : 5,951.48 = 3,148.54 : x
  2. Step 2: Convert to fraction form
    3,963.65/5,951.48 = 3,148.54/x
  3. Step 3: Cross multiply
    3,963.65x = 5,951.48 × 3,148.54
  4. Step 4: Simplify right side
    3,963.65x = 18,738,442.22
  5. Step 5: Solve for x
    x = 18,738,442.22/3,963.65
  6. Step 6: Final answer
    x = 4,727.58

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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.