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Finding the Fourth Proportional to 4,832.56, 7,249.74 and 1,546.48

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Solution

The fourth proportional to 4,832.56, 7,249.74 and 1,546.48 is: 2,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.56 : 7,249.74 = 1,546.48 : x
  2. Step 2: Convert to fraction form
    4,832.56/7,249.74 = 1,546.48/x
  3. Step 3: Cross multiply
    4,832.56x = 7,249.74 × 1,546.48
  4. Step 4: Simplify right side
    4,832.56x = 11,211,577.92
  5. Step 5: Solve for x
    x = 11,211,577.92/4,832.56
  6. Step 6: Final answer
    x = 2,320.01

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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.