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Finding the Fourth Proportional to 5,453.64, 8,164.44 and 4,142.52

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Solution

The fourth proportional to 5,453.64, 8,164.44 and 4,142.52 is: 6,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.64 : 8,164.44 = 4,142.52 : x
  2. Step 2: Convert to fraction form
    5,453.64/8,164.44 = 4,142.52/x
  3. Step 3: Cross multiply
    5,453.64x = 8,164.44 × 4,142.52
  4. Step 4: Simplify right side
    5,453.64x = 33,821,355.99
  5. Step 5: Solve for x
    x = 33,821,355.99/5,453.64
  6. Step 6: Final answer
    x = 6,201.61

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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.