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Finding the Fourth Proportional to 3,963.93, 5,946.19 and 1,190.38

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Solution

The fourth proportional to 3,963.93, 5,946.19 and 1,190.38 is: 1,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.93 : 5,946.19 = 1,190.38 : x
  2. Step 2: Convert to fraction form
    3,963.93/5,946.19 = 1,190.38/x
  3. Step 3: Cross multiply
    3,963.93x = 5,946.19 × 1,190.38
  4. Step 4: Simplify right side
    3,963.93x = 7,078,225.65
  5. Step 5: Solve for x
    x = 7,078,225.65/3,963.93
  6. Step 6: Final answer
    x = 1,785.66

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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.