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Finding the Fourth Proportional to 3,831.96, 5,747.94 and 1,366.68

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Solution

The fourth proportional to 3,831.96, 5,747.94 and 1,366.68 is: 2,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.96 : 5,747.94 = 1,366.68 : x
  2. Step 2: Convert to fraction form
    3,831.96/5,747.94 = 1,366.68/x
  3. Step 3: Cross multiply
    3,831.96x = 5,747.94 × 1,366.68
  4. Step 4: Simplify right side
    3,831.96x = 7,855,594.64
  5. Step 5: Solve for x
    x = 7,855,594.64/3,831.96
  6. Step 6: Final answer
    x = 2,050.02

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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.