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Finding the Fourth Proportional to 6,381.74, 8,806.14 and 3,728.81

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Solution

The fourth proportional to 6,381.74, 8,806.14 and 3,728.81 is: 5,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.74 : 8,806.14 = 3,728.81 : x
  2. Step 2: Convert to fraction form
    6,381.74/8,806.14 = 3,728.81/x
  3. Step 3: Cross multiply
    6,381.74x = 8,806.14 × 3,728.81
  4. Step 4: Simplify right side
    6,381.74x = 32,836,378.86
  5. Step 5: Solve for x
    x = 32,836,378.86/6,381.74
  6. Step 6: Final answer
    x = 5,145.37

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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.