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Finding the Fourth Proportional to 6,074.36, 8,382.42 and 3,421.71

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Solution

The fourth proportional to 6,074.36, 8,382.42 and 3,421.71 is: 4,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.36 : 8,382.42 = 3,421.71 : x
  2. Step 2: Convert to fraction form
    6,074.36/8,382.42 = 3,421.71/x
  3. Step 3: Cross multiply
    6,074.36x = 8,382.42 × 3,421.71
  4. Step 4: Simplify right side
    6,074.36x = 28,682,168.43
  5. Step 5: Solve for x
    x = 28,682,168.43/6,074.36
  6. Step 6: Final answer
    x = 4,721.85

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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.