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Finding the Fourth Proportional to 3,846.94, 5,769.66 and 1,348.48

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Solution

The fourth proportional to 3,846.94, 5,769.66 and 1,348.48 is: 2,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.94 : 5,769.66 = 1,348.48 : x
  2. Step 2: Convert to fraction form
    3,846.94/5,769.66 = 1,348.48/x
  3. Step 3: Cross multiply
    3,846.94x = 5,769.66 × 1,348.48
  4. Step 4: Simplify right side
    3,846.94x = 7,780,271.12
  5. Step 5: Solve for x
    x = 7,780,271.12/3,846.94
  6. Step 6: Final answer
    x = 2,022.46

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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.