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Finding the Fourth Proportional to 6,321.98, 8,724.02 and 3,668.96

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Solution

The fourth proportional to 6,321.98, 8,724.02 and 3,668.96 is: 5,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.98 : 8,724.02 = 3,668.96 : x
  2. Step 2: Convert to fraction form
    6,321.98/8,724.02 = 3,668.96/x
  3. Step 3: Cross multiply
    6,321.98x = 8,724.02 × 3,668.96
  4. Step 4: Simplify right side
    6,321.98x = 32,008,018.45
  5. Step 5: Solve for x
    x = 32,008,018.45/6,321.98
  6. Step 6: Final answer
    x = 5,062.98

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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.