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Finding the Fourth Proportional to 5,198.94, 7,803.81 and 3,011.94

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Solution

The fourth proportional to 5,198.94, 7,803.81 and 3,011.94 is: 4,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.94 : 7,803.81 = 3,011.94 : x
  2. Step 2: Convert to fraction form
    5,198.94/7,803.81 = 3,011.94/x
  3. Step 3: Cross multiply
    5,198.94x = 7,803.81 × 3,011.94
  4. Step 4: Simplify right side
    5,198.94x = 23,504,607.49
  5. Step 5: Solve for x
    x = 23,504,607.49/5,198.94
  6. Step 6: Final answer
    x = 4,521.04

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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.