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Finding the Fourth Proportional to 4,768.76, 7,147.38 and 2,027

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Solution

The fourth proportional to 4,768.76, 7,147.38 and 2,027 is: 3,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.76 : 7,147.38 = 2,027 : x
  2. Step 2: Convert to fraction form
    4,768.76/7,147.38 = 2,027/x
  3. Step 3: Cross multiply
    4,768.76x = 7,147.38 × 2,027
  4. Step 4: Simplify right side
    4,768.76x = 14,487,739.26
  5. Step 5: Solve for x
    x = 14,487,739.26/4,768.76
  6. Step 6: Final answer
    x = 3,038.05

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Why These Related Problems?

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