Home / 5,784-7,983.36-3,301.44

Finding the Fourth Proportional to 5,784, 7,983.36 and 3,301.44

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Solution

The fourth proportional to 5,784, 7,983.36 and 3,301.44 is: 4,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784 : 7,983.36 = 3,301.44 : x
  2. Step 2: Convert to fraction form
    5,784/7,983.36 = 3,301.44/x
  3. Step 3: Cross multiply
    5,784x = 7,983.36 × 3,301.44
  4. Step 4: Simplify right side
    5,784x = 26,356,584.04
  5. Step 5: Solve for x
    x = 26,356,584.04/5,784
  6. Step 6: Final answer
    x = 4,556.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.