Home / 5,922-8,172.36-3,564.24

Finding the Fourth Proportional to 5,922, 8,172.36 and 3,564.24

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Solution

The fourth proportional to 5,922, 8,172.36 and 3,564.24 is: 4,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922 : 8,172.36 = 3,564.24 : x
  2. Step 2: Convert to fraction form
    5,922/8,172.36 = 3,564.24/x
  3. Step 3: Cross multiply
    5,922x = 8,172.36 × 3,564.24
  4. Step 4: Simplify right side
    5,922x = 29,128,252.41
  5. Step 5: Solve for x
    x = 29,128,252.41/5,922
  6. Step 6: Final answer
    x = 4,918.65

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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.