Home / 5,938-8,194.46-3,580.24

Finding the Fourth Proportional to 5,938, 8,194.46 and 3,580.24

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Solution

The fourth proportional to 5,938, 8,194.46 and 3,580.24 is: 4,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938 : 8,194.46 = 3,580.24 : x
  2. Step 2: Convert to fraction form
    5,938/8,194.46 = 3,580.24/x
  3. Step 3: Cross multiply
    5,938x = 8,194.46 × 3,580.24
  4. Step 4: Simplify right side
    5,938x = 29,338,133.47
  5. Step 5: Solve for x
    x = 29,338,133.47/5,938
  6. Step 6: Final answer
    x = 4,940.74

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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.