Home / 3,828-5,741.64-1,362.72

Finding the Fourth Proportional to 3,828, 5,741.64 and 1,362.72

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Solution

The fourth proportional to 3,828, 5,741.64 and 1,362.72 is: 2,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828 : 5,741.64 = 1,362.72 : x
  2. Step 2: Convert to fraction form
    3,828/5,741.64 = 1,362.72/x
  3. Step 3: Cross multiply
    3,828x = 5,741.64 × 1,362.72
  4. Step 4: Simplify right side
    3,828x = 7,824,247.66
  5. Step 5: Solve for x
    x = 7,824,247.66/3,828
  6. Step 6: Final answer
    x = 2,043.95

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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.