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Finding the Fourth Proportional to 6,125.92, 8,449.44 and 4,238.08

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Solution

The fourth proportional to 6,125.92, 8,449.44 and 4,238.08 is: 5,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.92 : 8,449.44 = 4,238.08 : x
  2. Step 2: Convert to fraction form
    6,125.92/8,449.44 = 4,238.08/x
  3. Step 3: Cross multiply
    6,125.92x = 8,449.44 × 4,238.08
  4. Step 4: Simplify right side
    6,125.92x = 35,809,402.68
  5. Step 5: Solve for x
    x = 35,809,402.68/6,125.92
  6. Step 6: Final answer
    x = 5,845.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.