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Finding the Fourth Proportional to 4,930, 6,803.67 and 2,834.26

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Solution

The fourth proportional to 4,930, 6,803.67 and 2,834.26 is: 3,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930 : 6,803.67 = 2,834.26 : x
  2. Step 2: Convert to fraction form
    4,930/6,803.67 = 2,834.26/x
  3. Step 3: Cross multiply
    4,930x = 6,803.67 × 2,834.26
  4. Step 4: Simplify right side
    4,930x = 19,283,369.73
  5. Step 5: Solve for x
    x = 19,283,369.73/4,930
  6. Step 6: Final answer
    x = 3,911.43

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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.