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Finding the Fourth Proportional to 4,934.54, 6,809.46 and 2,696.49

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Solution

The fourth proportional to 4,934.54, 6,809.46 and 2,696.49 is: 3,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.54 : 6,809.46 = 2,696.49 : x
  2. Step 2: Convert to fraction form
    4,934.54/6,809.46 = 2,696.49/x
  3. Step 3: Cross multiply
    4,934.54x = 6,809.46 × 2,696.49
  4. Step 4: Simplify right side
    4,934.54x = 18,361,605.15
  5. Step 5: Solve for x
    x = 18,361,605.15/4,934.54
  6. Step 6: Final answer
    x = 3,721.04

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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.