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Finding the Fourth Proportional to 5,169.43, 7,741.81 and 2,825.92

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Solution

The fourth proportional to 5,169.43, 7,741.81 and 2,825.92 is: 4,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.43 : 7,741.81 = 2,825.92 : x
  2. Step 2: Convert to fraction form
    5,169.43/7,741.81 = 2,825.92/x
  3. Step 3: Cross multiply
    5,169.43x = 7,741.81 × 2,825.92
  4. Step 4: Simplify right side
    5,169.43x = 21,877,735.72
  5. Step 5: Solve for x
    x = 21,877,735.72/5,169.43
  6. Step 6: Final answer
    x = 4,232.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.