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Finding the Fourth Proportional to 3,846.07, 5,768.02 and 1,072.90

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Solution

The fourth proportional to 3,846.07, 5,768.02 and 1,072.90 is: 1,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.07 : 5,768.02 = 1,072.90 : x
  2. Step 2: Convert to fraction form
    3,846.07/5,768.02 = 1,072.90/x
  3. Step 3: Cross multiply
    3,846.07x = 5,768.02 × 1,072.90
  4. Step 4: Simplify right side
    3,846.07x = 6,188,508.66
  5. Step 5: Solve for x
    x = 6,188,508.66/3,846.07
  6. Step 6: Final answer
    x = 1,609.05

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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.