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Finding the Fourth Proportional to 6,320.50, 8,724.02 and 3,668.75

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Solution

The fourth proportional to 6,320.50, 8,724.02 and 3,668.75 is: 5,063.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.50 : 8,724.02 = 3,668.75 : x
  2. Step 2: Convert to fraction form
    6,320.50/8,724.02 = 3,668.75/x
  3. Step 3: Cross multiply
    6,320.50x = 8,724.02 × 3,668.75
  4. Step 4: Simplify right side
    6,320.50x = 32,006,248.38
  5. Step 5: Solve for x
    x = 32,006,248.38/6,320.50
  6. Step 6: Final answer
    x = 5,063.88

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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.