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Finding the Fourth Proportional to 4,930.14, 6,803.91 and 2,834.22

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Solution

The fourth proportional to 4,930.14, 6,803.91 and 2,834.22 is: 3,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.14 : 6,803.91 = 2,834.22 : x
  2. Step 2: Convert to fraction form
    4,930.14/6,803.91 = 2,834.22/x
  3. Step 3: Cross multiply
    4,930.14x = 6,803.91 × 2,834.22
  4. Step 4: Simplify right side
    4,930.14x = 19,283,777.80
  5. Step 5: Solve for x
    x = 19,283,777.80/4,930.14
  6. Step 6: Final answer
    x = 3,911.41

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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.