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Finding the Fourth Proportional to 3,960.65, 5,475.96 and 3,786.38

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Solution

The fourth proportional to 3,960.65, 5,475.96 and 3,786.38 is: 5,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.65 : 5,475.96 = 3,786.38 : x
  2. Step 2: Convert to fraction form
    3,960.65/5,475.96 = 3,786.38/x
  3. Step 3: Cross multiply
    3,960.65x = 5,475.96 × 3,786.38
  4. Step 4: Simplify right side
    3,960.65x = 20,734,038.05
  5. Step 5: Solve for x
    x = 20,734,038.05/3,960.65
  6. Step 6: Final answer
    x = 5,235.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.