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Finding the Fourth Proportional to 5,072.76, 6,996.70 and 3,391.21

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Solution

The fourth proportional to 5,072.76, 6,996.70 and 3,391.21 is: 4,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.76 : 6,996.70 = 3,391.21 : x
  2. Step 2: Convert to fraction form
    5,072.76/6,996.70 = 3,391.21/x
  3. Step 3: Cross multiply
    5,072.76x = 6,996.70 × 3,391.21
  4. Step 4: Simplify right side
    5,072.76x = 23,727,227.07
  5. Step 5: Solve for x
    x = 23,727,227.07/5,072.76
  6. Step 6: Final answer
    x = 4,677.38

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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.