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Finding the Fourth Proportional to 4,892.77, 6,750.38 and 2,768.05

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Solution

The fourth proportional to 4,892.77, 6,750.38 and 2,768.05 is: 3,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.77 : 6,750.38 = 2,768.05 : x
  2. Step 2: Convert to fraction form
    4,892.77/6,750.38 = 2,768.05/x
  3. Step 3: Cross multiply
    4,892.77x = 6,750.38 × 2,768.05
  4. Step 4: Simplify right side
    4,892.77x = 18,685,375.52
  5. Step 5: Solve for x
    x = 18,685,375.52/4,892.77
  6. Step 6: Final answer
    x = 3,818.98

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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.