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Finding the Fourth Proportional to 4,874.56, 6,727.20 and 2,778.72

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Solution

The fourth proportional to 4,874.56, 6,727.20 and 2,778.72 is: 3,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.56 : 6,727.20 = 2,778.72 : x
  2. Step 2: Convert to fraction form
    4,874.56/6,727.20 = 2,778.72/x
  3. Step 3: Cross multiply
    4,874.56x = 6,727.20 × 2,778.72
  4. Step 4: Simplify right side
    4,874.56x = 18,693,005.18
  5. Step 5: Solve for x
    x = 18,693,005.18/4,874.56
  6. Step 6: Final answer
    x = 3,834.81

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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.