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Finding the Fourth Proportional to 5,962.33, 8,223.33 and 4,169.23

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Solution

The fourth proportional to 5,962.33, 8,223.33 and 4,169.23 is: 5,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.33 : 8,223.33 = 4,169.23 : x
  2. Step 2: Convert to fraction form
    5,962.33/8,223.33 = 4,169.23/x
  3. Step 3: Cross multiply
    5,962.33x = 8,223.33 × 4,169.23
  4. Step 4: Simplify right side
    5,962.33x = 34,284,954.14
  5. Step 5: Solve for x
    x = 34,284,954.14/5,962.33
  6. Step 6: Final answer
    x = 5,750.26

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