Home / 5,976-8,238.96-5,223.12

Finding the Fourth Proportional to 5,976, 8,238.96 and 5,223.12

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Solution

The fourth proportional to 5,976, 8,238.96 and 5,223.12 is: 7,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976 : 8,238.96 = 5,223.12 : x
  2. Step 2: Convert to fraction form
    5,976/8,238.96 = 5,223.12/x
  3. Step 3: Cross multiply
    5,976x = 8,238.96 × 5,223.12
  4. Step 4: Simplify right side
    5,976x = 43,033,076.76
  5. Step 5: Solve for x
    x = 43,033,076.76/5,976
  6. Step 6: Final answer
    x = 7,200.98

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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.