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Finding the Fourth Proportional to 4,936.92, 6,812.93 and 2,812.33

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Solution

The fourth proportional to 4,936.92, 6,812.93 and 2,812.33 is: 3,881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.92 : 6,812.93 = 2,812.33 : x
  2. Step 2: Convert to fraction form
    4,936.92/6,812.93 = 2,812.33/x
  3. Step 3: Cross multiply
    4,936.92x = 6,812.93 × 2,812.33
  4. Step 4: Simplify right side
    4,936.92x = 19,160,222.97
  5. Step 5: Solve for x
    x = 19,160,222.97/4,936.92
  6. Step 6: Final answer
    x = 3,881.01

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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.