Home / 5,193.27-7,784.64-2,072.43

Finding the Fourth Proportional to 5,193.27, 7,784.64 and 2,072.43

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Solution

The fourth proportional to 5,193.27, 7,784.64 and 2,072.43 is: 3,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.27 : 7,784.64 = 2,072.43 : x
  2. Step 2: Convert to fraction form
    5,193.27/7,784.64 = 2,072.43/x
  3. Step 3: Cross multiply
    5,193.27x = 7,784.64 × 2,072.43
  4. Step 4: Simplify right side
    5,193.27x = 16,133,121.48
  5. Step 5: Solve for x
    x = 16,133,121.48/5,193.27
  6. Step 6: Final answer
    x = 3,106.54

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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.