Home / 3,822-5,733.27-3,469.92

Finding the Fourth Proportional to 3,822, 5,733.27 and 3,469.92

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Solution

The fourth proportional to 3,822, 5,733.27 and 3,469.92 is: 5,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822 : 5,733.27 = 3,469.92 : x
  2. Step 2: Convert to fraction form
    3,822/5,733.27 = 3,469.92/x
  3. Step 3: Cross multiply
    3,822x = 5,733.27 × 3,469.92
  4. Step 4: Simplify right side
    3,822x = 19,893,988.24
  5. Step 5: Solve for x
    x = 19,893,988.24/3,822
  6. Step 6: Final answer
    x = 5,205.13

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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.