Home / 3,883-5,824.52-1,661.52

Finding the Fourth Proportional to 3,883, 5,824.52 and 1,661.52

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Solution

The fourth proportional to 3,883, 5,824.52 and 1,661.52 is: 2,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883 : 5,824.52 = 1,661.52 : x
  2. Step 2: Convert to fraction form
    3,883/5,824.52 = 1,661.52/x
  3. Step 3: Cross multiply
    3,883x = 5,824.52 × 1,661.52
  4. Step 4: Simplify right side
    3,883x = 9,677,556.47
  5. Step 5: Solve for x
    x = 9,677,556.47/3,883
  6. Step 6: Final answer
    x = 2,492.29

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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.