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Finding the Fourth Proportional to 5,812.72, 8,021.49 and 3,159.97

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Solution

The fourth proportional to 5,812.72, 8,021.49 and 3,159.97 is: 4,360.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.72 : 8,021.49 = 3,159.97 : x
  2. Step 2: Convert to fraction form
    5,812.72/8,021.49 = 3,159.97/x
  3. Step 3: Cross multiply
    5,812.72x = 8,021.49 × 3,159.97
  4. Step 4: Simplify right side
    5,812.72x = 25,347,627.65
  5. Step 5: Solve for x
    x = 25,347,627.65/5,812.72
  6. Step 6: Final answer
    x = 4,360.72

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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.