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Finding the Fourth Proportional to 3,440.22, 5,160.34 and 843.14

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Solution

The fourth proportional to 3,440.22, 5,160.34 and 843.14 is: 1,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.22 : 5,160.34 = 843.14 : x
  2. Step 2: Convert to fraction form
    3,440.22/5,160.34 = 843.14/x
  3. Step 3: Cross multiply
    3,440.22x = 5,160.34 × 843.14
  4. Step 4: Simplify right side
    3,440.22x = 4,350,889.07
  5. Step 5: Solve for x
    x = 4,350,889.07/3,440.22
  6. Step 6: Final answer
    x = 1,264.71

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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.