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Finding the Fourth Proportional to 4,574.70, 6,310.26 and 3,832.38

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Solution

The fourth proportional to 4,574.70, 6,310.26 and 3,832.38 is: 5,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.70 : 6,310.26 = 3,832.38 : x
  2. Step 2: Convert to fraction form
    4,574.70/6,310.26 = 3,832.38/x
  3. Step 3: Cross multiply
    4,574.70x = 6,310.26 × 3,832.38
  4. Step 4: Simplify right side
    4,574.70x = 24,183,314.22
  5. Step 5: Solve for x
    x = 24,183,314.22/4,574.70
  6. Step 6: Final answer
    x = 5,286.32

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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.