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Finding the Fourth Proportional to 4,783.76, 7,168.44 and 2,834

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Solution

The fourth proportional to 4,783.76, 7,168.44 and 2,834 is: 4,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.76 : 7,168.44 = 2,834 : x
  2. Step 2: Convert to fraction form
    4,783.76/7,168.44 = 2,834/x
  3. Step 3: Cross multiply
    4,783.76x = 7,168.44 × 2,834
  4. Step 4: Simplify right side
    4,783.76x = 20,315,358.96
  5. Step 5: Solve for x
    x = 20,315,358.96/4,783.76
  6. Step 6: Final answer
    x = 4,246.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.