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Finding the Fourth Proportional to 5,822.26, 8,034.72 and 3,169.67

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Solution

The fourth proportional to 5,822.26, 8,034.72 and 3,169.67 is: 4,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.26 : 8,034.72 = 3,169.67 : x
  2. Step 2: Convert to fraction form
    5,822.26/8,034.72 = 3,169.67/x
  3. Step 3: Cross multiply
    5,822.26x = 8,034.72 × 3,169.67
  4. Step 4: Simplify right side
    5,822.26x = 25,467,358.88
  5. Step 5: Solve for x
    x = 25,467,358.88/5,822.26
  6. Step 6: Final answer
    x = 4,374.14

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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.