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Finding the Fourth Proportional to 4,274.10, 6,400.22 and 3,785.67

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Solution

The fourth proportional to 4,274.10, 6,400.22 and 3,785.67 is: 5,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.10 : 6,400.22 = 3,785.67 : x
  2. Step 2: Convert to fraction form
    4,274.10/6,400.22 = 3,785.67/x
  3. Step 3: Cross multiply
    4,274.10x = 6,400.22 × 3,785.67
  4. Step 4: Simplify right side
    4,274.10x = 24,229,101.92
  5. Step 5: Solve for x
    x = 24,229,101.92/4,274.10
  6. Step 6: Final answer
    x = 5,668.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.