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Finding the Fourth Proportional to 4,950.20, 6,831 and 2,711.63

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Solution

The fourth proportional to 4,950.20, 6,831 and 2,711.63 is: 3,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.20 : 6,831 = 2,711.63 : x
  2. Step 2: Convert to fraction form
    4,950.20/6,831 = 2,711.63/x
  3. Step 3: Cross multiply
    4,950.20x = 6,831 × 2,711.63
  4. Step 4: Simplify right side
    4,950.20x = 18,523,110.38
  5. Step 5: Solve for x
    x = 18,523,110.38/4,950.20
  6. Step 6: Final answer
    x = 3,741.90

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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.