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Finding the Fourth Proportional to 5,955.50, 8,217.42 and 3,831.68

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Solution

The fourth proportional to 5,955.50, 8,217.42 and 3,831.68 is: 5,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,955.50 : 8,217.42 = 3,831.68 : x
  2. Step 2: Convert to fraction form
    5,955.50/8,217.42 = 3,831.68/x
  3. Step 3: Cross multiply
    5,955.50x = 8,217.42 × 3,831.68
  4. Step 4: Simplify right side
    5,955.50x = 31,486,523.87
  5. Step 5: Solve for x
    x = 31,486,523.87/5,955.50
  6. Step 6: Final answer
    x = 5,286.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.