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Finding the Fourth Proportional to 5,355.50, 8,034.44 and 2,584.50

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Solution

The fourth proportional to 5,355.50, 8,034.44 and 2,584.50 is: 3,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.50 : 8,034.44 = 2,584.50 : x
  2. Step 2: Convert to fraction form
    5,355.50/8,034.44 = 2,584.50/x
  3. Step 3: Cross multiply
    5,355.50x = 8,034.44 × 2,584.50
  4. Step 4: Simplify right side
    5,355.50x = 20,765,010.18
  5. Step 5: Solve for x
    x = 20,765,010.18/5,355.50
  6. Step 6: Final answer
    x = 3,877.32

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