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Finding the Fourth Proportional to 3,897, 5,846.94 and 2,048.04

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Solution

The fourth proportional to 3,897, 5,846.94 and 2,048.04 is: 3,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897 : 5,846.94 = 2,048.04 : x
  2. Step 2: Convert to fraction form
    3,897/5,846.94 = 2,048.04/x
  3. Step 3: Cross multiply
    3,897x = 5,846.94 × 2,048.04
  4. Step 4: Simplify right side
    3,897x = 11,974,767.00
  5. Step 5: Solve for x
    x = 11,974,767.00/3,897
  6. Step 6: Final answer
    x = 3,072.82

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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.