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Finding the Fourth Proportional to 3,428.82, 5,143.22 and 831.75

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Solution

The fourth proportional to 3,428.82, 5,143.22 and 831.75 is: 1,247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.82 : 5,143.22 = 831.75 : x
  2. Step 2: Convert to fraction form
    3,428.82/5,143.22 = 831.75/x
  3. Step 3: Cross multiply
    3,428.82x = 5,143.22 × 831.75
  4. Step 4: Simplify right side
    3,428.82x = 4,277,873.24
  5. Step 5: Solve for x
    x = 4,277,873.24/3,428.82
  6. Step 6: Final answer
    x = 1,247.62

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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.