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Finding the Fourth Proportional to 3,831.39, 5,747.54 and 1,366.56

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Solution

The fourth proportional to 3,831.39, 5,747.54 and 1,366.56 is: 2,050.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.39 : 5,747.54 = 1,366.56 : x
  2. Step 2: Convert to fraction form
    3,831.39/5,747.54 = 1,366.56/x
  3. Step 3: Cross multiply
    3,831.39x = 5,747.54 × 1,366.56
  4. Step 4: Simplify right side
    3,831.39x = 7,854,351.43
  5. Step 5: Solve for x
    x = 7,854,351.43/3,831.39
  6. Step 6: Final answer
    x = 2,050.00

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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.