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Finding the Fourth Proportional to 5,812.16, 8,021.12 and 3,294.37

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Solution

The fourth proportional to 5,812.16, 8,021.12 and 3,294.37 is: 4,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.16 : 8,021.12 = 3,294.37 : x
  2. Step 2: Convert to fraction form
    5,812.16/8,021.12 = 3,294.37/x
  3. Step 3: Cross multiply
    5,812.16x = 8,021.12 × 3,294.37
  4. Step 4: Simplify right side
    5,812.16x = 26,424,530.65
  5. Step 5: Solve for x
    x = 26,424,530.65/5,812.16
  6. Step 6: Final answer
    x = 4,546.43

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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.