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Finding the Fourth Proportional to 4,930.39, 6,804.26 and 2,834.47

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Solution

The fourth proportional to 4,930.39, 6,804.26 and 2,834.47 is: 3,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.39 : 6,804.26 = 2,834.47 : x
  2. Step 2: Convert to fraction form
    4,930.39/6,804.26 = 2,834.47/x
  3. Step 3: Cross multiply
    4,930.39x = 6,804.26 × 2,834.47
  4. Step 4: Simplify right side
    4,930.39x = 19,286,456.67
  5. Step 5: Solve for x
    x = 19,286,456.67/4,930.39
  6. Step 6: Final answer
    x = 3,911.75

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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.