Home / 5,216.29-7,823.79-2,096.17

Finding the Fourth Proportional to 5,216.29, 7,823.79 and 2,096.17

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Solution

The fourth proportional to 5,216.29, 7,823.79 and 2,096.17 is: 3,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.29 : 7,823.79 = 2,096.17 : x
  2. Step 2: Convert to fraction form
    5,216.29/7,823.79 = 2,096.17/x
  3. Step 3: Cross multiply
    5,216.29x = 7,823.79 × 2,096.17
  4. Step 4: Simplify right side
    5,216.29x = 16,399,993.88
  5. Step 5: Solve for x
    x = 16,399,993.88/5,216.29
  6. Step 6: Final answer
    x = 3,144.00

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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.