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Finding the Fourth Proportional to 4,832.78, 7,249.10 and 1,911.05

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Solution

The fourth proportional to 4,832.78, 7,249.10 and 1,911.05 is: 2,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.78 : 7,249.10 = 1,911.05 : x
  2. Step 2: Convert to fraction form
    4,832.78/7,249.10 = 1,911.05/x
  3. Step 3: Cross multiply
    4,832.78x = 7,249.10 × 1,911.05
  4. Step 4: Simplify right side
    4,832.78x = 13,853,346.75
  5. Step 5: Solve for x
    x = 13,853,346.75/4,832.78
  6. Step 6: Final answer
    x = 2,866.54

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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.