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Finding the Fourth Proportional to 4,777.62, 7,162.75 and 2,178.73

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Solution

The fourth proportional to 4,777.62, 7,162.75 and 2,178.73 is: 3,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.62 : 7,162.75 = 2,178.73 : x
  2. Step 2: Convert to fraction form
    4,777.62/7,162.75 = 2,178.73/x
  3. Step 3: Cross multiply
    4,777.62x = 7,162.75 × 2,178.73
  4. Step 4: Simplify right side
    4,777.62x = 15,605,698.31
  5. Step 5: Solve for x
    x = 15,605,698.31/4,777.62
  6. Step 6: Final answer
    x = 3,266.42

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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.