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Finding the Fourth Proportional to 4,946.16, 6,827.22 and 2,851.68

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Solution

The fourth proportional to 4,946.16, 6,827.22 and 2,851.68 is: 3,936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.16 : 6,827.22 = 2,851.68 : x
  2. Step 2: Convert to fraction form
    4,946.16/6,827.22 = 2,851.68/x
  3. Step 3: Cross multiply
    4,946.16x = 6,827.22 × 2,851.68
  4. Step 4: Simplify right side
    4,946.16x = 19,469,046.73
  5. Step 5: Solve for x
    x = 19,469,046.73/4,946.16
  6. Step 6: Final answer
    x = 3,936.19

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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.