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Finding the Fourth Proportional to 3,072.07, 4,230.22 and 3,003.09

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Solution

The fourth proportional to 3,072.07, 4,230.22 and 3,003.09 is: 4,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.07 : 4,230.22 = 3,003.09 : x
  2. Step 2: Convert to fraction form
    3,072.07/4,230.22 = 3,003.09/x
  3. Step 3: Cross multiply
    3,072.07x = 4,230.22 × 3,003.09
  4. Step 4: Simplify right side
    3,072.07x = 12,703,731.38
  5. Step 5: Solve for x
    x = 12,703,731.38/3,072.07
  6. Step 6: Final answer
    x = 4,135.23

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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.