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Finding the Fourth Proportional to 5,084.28, 7,627.86 and 2,163

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Solution

The fourth proportional to 5,084.28, 7,627.86 and 2,163 is: 3,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.28 : 7,627.86 = 2,163 : x
  2. Step 2: Convert to fraction form
    5,084.28/7,627.86 = 2,163/x
  3. Step 3: Cross multiply
    5,084.28x = 7,627.86 × 2,163
  4. Step 4: Simplify right side
    5,084.28x = 16,499,061.18
  5. Step 5: Solve for x
    x = 16,499,061.18/5,084.28
  6. Step 6: Final answer
    x = 3,245.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.