Home / 3,423.24-5,134.86-826.18

Finding the Fourth Proportional to 3,423.24, 5,134.86 and 826.18

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Solution

The fourth proportional to 3,423.24, 5,134.86 and 826.18 is: 1,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.24 : 5,134.86 = 826.18 : x
  2. Step 2: Convert to fraction form
    3,423.24/5,134.86 = 826.18/x
  3. Step 3: Cross multiply
    3,423.24x = 5,134.86 × 826.18
  4. Step 4: Simplify right side
    3,423.24x = 4,242,305.80
  5. Step 5: Solve for x
    x = 4,242,305.80/3,423.24
  6. Step 6: Final answer
    x = 1,239.27

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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.