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Finding the Fourth Proportional to 5,366, 8,043.44 and 3,027.12

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Solution

The fourth proportional to 5,366, 8,043.44 and 3,027.12 is: 4,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366 : 8,043.44 = 3,027.12 : x
  2. Step 2: Convert to fraction form
    5,366/8,043.44 = 3,027.12/x
  3. Step 3: Cross multiply
    5,366x = 8,043.44 × 3,027.12
  4. Step 4: Simplify right side
    5,366x = 24,348,458.09
  5. Step 5: Solve for x
    x = 24,348,458.09/5,366
  6. Step 6: Final answer
    x = 4,537.54

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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.