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Finding the Fourth Proportional to 4,768.20, 6,580.20 and 2,778.92

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Solution

The fourth proportional to 4,768.20, 6,580.20 and 2,778.92 is: 3,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.20 : 6,580.20 = 2,778.92 : x
  2. Step 2: Convert to fraction form
    4,768.20/6,580.20 = 2,778.92/x
  3. Step 3: Cross multiply
    4,768.20x = 6,580.20 × 2,778.92
  4. Step 4: Simplify right side
    4,768.20x = 18,285,849.38
  5. Step 5: Solve for x
    x = 18,285,849.38/4,768.20
  6. Step 6: Final answer
    x = 3,834.96

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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.