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Finding the Fourth Proportional to 3,846.62, 5,308.59 and 2,145.38

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Solution

The fourth proportional to 3,846.62, 5,308.59 and 2,145.38 is: 2,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.62 : 5,308.59 = 2,145.38 : x
  2. Step 2: Convert to fraction form
    3,846.62/5,308.59 = 2,145.38/x
  3. Step 3: Cross multiply
    3,846.62x = 5,308.59 × 2,145.38
  4. Step 4: Simplify right side
    3,846.62x = 11,388,942.81
  5. Step 5: Solve for x
    x = 11,388,942.81/3,846.62
  6. Step 6: Final answer
    x = 2,960.77

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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.