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Finding the Fourth Proportional to 4,294.57, 6,443.24 and 1,831.49

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Solution

The fourth proportional to 4,294.57, 6,443.24 and 1,831.49 is: 2,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.57 : 6,443.24 = 1,831.49 : x
  2. Step 2: Convert to fraction form
    4,294.57/6,443.24 = 1,831.49/x
  3. Step 3: Cross multiply
    4,294.57x = 6,443.24 × 1,831.49
  4. Step 4: Simplify right side
    4,294.57x = 11,800,736.58
  5. Step 5: Solve for x
    x = 11,800,736.58/4,294.57
  6. Step 6: Final answer
    x = 2,747.83

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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.