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Finding the Fourth Proportional to 4,803.84, 6,628.84 and 2,786.94

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Solution

The fourth proportional to 4,803.84, 6,628.84 and 2,786.94 is: 3,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.84 : 6,628.84 = 2,786.94 : x
  2. Step 2: Convert to fraction form
    4,803.84/6,628.84 = 2,786.94/x
  3. Step 3: Cross multiply
    4,803.84x = 6,628.84 × 2,786.94
  4. Step 4: Simplify right side
    4,803.84x = 18,474,172.38
  5. Step 5: Solve for x
    x = 18,474,172.38/4,803.84
  6. Step 6: Final answer
    x = 3,845.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.