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Finding the Fourth Proportional to 5,973.75, 8,243.78 and 3,321.16

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Solution

The fourth proportional to 5,973.75, 8,243.78 and 3,321.16 is: 4,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.75 : 8,243.78 = 3,321.16 : x
  2. Step 2: Convert to fraction form
    5,973.75/8,243.78 = 3,321.16/x
  3. Step 3: Cross multiply
    5,973.75x = 8,243.78 × 3,321.16
  4. Step 4: Simplify right side
    5,973.75x = 27,378,912.38
  5. Step 5: Solve for x
    x = 27,378,912.38/5,973.75
  6. Step 6: Final answer
    x = 4,583.20

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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.