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Finding the Fourth Proportional to 3,107.52, 4,662.26 and 1,027.56

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Solution

The fourth proportional to 3,107.52, 4,662.26 and 1,027.56 is: 1,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.52 : 4,662.26 = 1,027.56 : x
  2. Step 2: Convert to fraction form
    3,107.52/4,662.26 = 1,027.56/x
  3. Step 3: Cross multiply
    3,107.52x = 4,662.26 × 1,027.56
  4. Step 4: Simplify right side
    3,107.52x = 4,790,751.89
  5. Step 5: Solve for x
    x = 4,790,751.89/3,107.52
  6. Step 6: Final answer
    x = 1,541.66

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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.