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Finding the Fourth Proportional to 3,831.98, 5,747.15 and 1,366.94

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Solution

The fourth proportional to 3,831.98, 5,747.15 and 1,366.94 is: 2,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.98 : 5,747.15 = 1,366.94 : x
  2. Step 2: Convert to fraction form
    3,831.98/5,747.15 = 1,366.94/x
  3. Step 3: Cross multiply
    3,831.98x = 5,747.15 × 1,366.94
  4. Step 4: Simplify right side
    3,831.98x = 7,856,027.01
  5. Step 5: Solve for x
    x = 7,856,027.01/3,831.98
  6. Step 6: Final answer
    x = 2,050.12

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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.