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Finding the Fourth Proportional to 6,284.98, 8,672.43 and 3,631.42

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Solution

The fourth proportional to 6,284.98, 8,672.43 and 3,631.42 is: 5,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.98 : 8,672.43 = 3,631.42 : x
  2. Step 2: Convert to fraction form
    6,284.98/8,672.43 = 3,631.42/x
  3. Step 3: Cross multiply
    6,284.98x = 8,672.43 × 3,631.42
  4. Step 4: Simplify right side
    6,284.98x = 31,493,235.75
  5. Step 5: Solve for x
    x = 31,493,235.75/6,284.98
  6. Step 6: Final answer
    x = 5,010.87

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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.