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Finding the Fourth Proportional to 5,812.38, 8,021.09 and 3,159.78

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Solution

The fourth proportional to 5,812.38, 8,021.09 and 3,159.78 is: 4,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.38 : 8,021.09 = 3,159.78 : x
  2. Step 2: Convert to fraction form
    5,812.38/8,021.09 = 3,159.78/x
  3. Step 3: Cross multiply
    5,812.38x = 8,021.09 × 3,159.78
  4. Step 4: Simplify right side
    5,812.38x = 25,344,879.76
  5. Step 5: Solve for x
    x = 25,344,879.76/5,812.38
  6. Step 6: Final answer
    x = 4,360.50

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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.