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Finding the Fourth Proportional to 4,874.76, 6,727.14 and 2,778.84

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Solution

The fourth proportional to 4,874.76, 6,727.14 and 2,778.84 is: 3,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.76 : 6,727.14 = 2,778.84 : x
  2. Step 2: Convert to fraction form
    4,874.76/6,727.14 = 2,778.84/x
  3. Step 3: Cross multiply
    4,874.76x = 6,727.14 × 2,778.84
  4. Step 4: Simplify right side
    4,874.76x = 18,693,645.72
  5. Step 5: Solve for x
    x = 18,693,645.72/4,874.76
  6. Step 6: Final answer
    x = 3,834.78

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