Home / 3,823.22-5,734.83-1,049.92

Finding the Fourth Proportional to 3,823.22, 5,734.83 and 1,049.92

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Solution

The fourth proportional to 3,823.22, 5,734.83 and 1,049.92 is: 1,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.22 : 5,734.83 = 1,049.92 : x
  2. Step 2: Convert to fraction form
    3,823.22/5,734.83 = 1,049.92/x
  3. Step 3: Cross multiply
    3,823.22x = 5,734.83 × 1,049.92
  4. Step 4: Simplify right side
    3,823.22x = 6,021,112.71
  5. Step 5: Solve for x
    x = 6,021,112.71/3,823.22
  6. Step 6: Final answer
    x = 1,574.88

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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.