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Finding the Fourth Proportional to 3,995.65, 5,474.07 and 3,846.01

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Solution

The fourth proportional to 3,995.65, 5,474.07 and 3,846.01 is: 5,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.65 : 5,474.07 = 3,846.01 : x
  2. Step 2: Convert to fraction form
    3,995.65/5,474.07 = 3,846.01/x
  3. Step 3: Cross multiply
    3,995.65x = 5,474.07 × 3,846.01
  4. Step 4: Simplify right side
    3,995.65x = 21,053,327.96
  5. Step 5: Solve for x
    x = 21,053,327.96/3,995.65
  6. Step 6: Final answer
    x = 5,269.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.