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Finding the Fourth Proportional to 4,881.87, 6,736.71 and 2,757.84

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Solution

The fourth proportional to 4,881.87, 6,736.71 and 2,757.84 is: 3,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.87 : 6,736.71 = 2,757.84 : x
  2. Step 2: Convert to fraction form
    4,881.87/6,736.71 = 2,757.84/x
  3. Step 3: Cross multiply
    4,881.87x = 6,736.71 × 2,757.84
  4. Step 4: Simplify right side
    4,881.87x = 18,578,778.65
  5. Step 5: Solve for x
    x = 18,578,778.65/4,881.87
  6. Step 6: Final answer
    x = 3,805.67

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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.