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Finding the Fourth Proportional to 5,021.97, 6,930.34 and 2,783.89

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Solution

The fourth proportional to 5,021.97, 6,930.34 and 2,783.89 is: 3,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021.97 : 6,930.34 = 2,783.89 : x
  2. Step 2: Convert to fraction form
    5,021.97/6,930.34 = 2,783.89/x
  3. Step 3: Cross multiply
    5,021.97x = 6,930.34 × 2,783.89
  4. Step 4: Simplify right side
    5,021.97x = 19,293,304.22
  5. Step 5: Solve for x
    x = 19,293,304.22/5,021.97
  6. Step 6: Final answer
    x = 3,841.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.