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Finding the Fourth Proportional to 5,355.62, 8,034.62 and 2,584.62

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Solution

The fourth proportional to 5,355.62, 8,034.62 and 2,584.62 is: 3,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.62 : 8,034.62 = 2,584.62 : x
  2. Step 2: Convert to fraction form
    5,355.62/8,034.62 = 2,584.62/x
  3. Step 3: Cross multiply
    5,355.62x = 8,034.62 × 2,584.62
  4. Step 4: Simplify right side
    5,355.62x = 20,766,439.54
  5. Step 5: Solve for x
    x = 20,766,439.54/5,355.62
  6. Step 6: Final answer
    x = 3,877.50

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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.