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Finding the Fourth Proportional to 3,872.07, 5,338.29 and 3,078.03

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Solution

The fourth proportional to 3,872.07, 5,338.29 and 3,078.03 is: 4,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.07 : 5,338.29 = 3,078.03 : x
  2. Step 2: Convert to fraction form
    3,872.07/5,338.29 = 3,078.03/x
  3. Step 3: Cross multiply
    3,872.07x = 5,338.29 × 3,078.03
  4. Step 4: Simplify right side
    3,872.07x = 16,431,401.38
  5. Step 5: Solve for x
    x = 16,431,401.38/3,872.07
  6. Step 6: Final answer
    x = 4,243.58

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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.