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Finding the Fourth Proportional to 4,950.48, 6,816.12 and 4,202.88

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Solution

The fourth proportional to 4,950.48, 6,816.12 and 4,202.88 is: 5,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.48 : 6,816.12 = 4,202.88 : x
  2. Step 2: Convert to fraction form
    4,950.48/6,816.12 = 4,202.88/x
  3. Step 3: Cross multiply
    4,950.48x = 6,816.12 × 4,202.88
  4. Step 4: Simplify right side
    4,950.48x = 28,647,334.43
  5. Step 5: Solve for x
    x = 28,647,334.43/4,950.48
  6. Step 6: Final answer
    x = 5,786.78

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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.