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Finding the Fourth Proportional to 6,316.38, 8,713.98 and 3,954.42

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Solution

The fourth proportional to 6,316.38, 8,713.98 and 3,954.42 is: 5,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.38 : 8,713.98 = 3,954.42 : x
  2. Step 2: Convert to fraction form
    6,316.38/8,713.98 = 3,954.42/x
  3. Step 3: Cross multiply
    6,316.38x = 8,713.98 × 3,954.42
  4. Step 4: Simplify right side
    6,316.38x = 34,458,736.79
  5. Step 5: Solve for x
    x = 34,458,736.79/6,316.38
  6. Step 6: Final answer
    x = 5,455.46

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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.