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Finding the Fourth Proportional to 3,440.24, 5,160.30 and 843.20

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Solution

The fourth proportional to 3,440.24, 5,160.30 and 843.20 is: 1,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.24 : 5,160.30 = 843.20 : x
  2. Step 2: Convert to fraction form
    3,440.24/5,160.30 = 843.20/x
  3. Step 3: Cross multiply
    3,440.24x = 5,160.30 × 843.20
  4. Step 4: Simplify right side
    3,440.24x = 4,351,164.96
  5. Step 5: Solve for x
    x = 4,351,164.96/3,440.24
  6. Step 6: Final answer
    x = 1,264.79

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