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Finding the Fourth Proportional to 4,832.00, 7,247.14 and 2,198.89

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Solution

The fourth proportional to 4,832.00, 7,247.14 and 2,198.89 is: 3,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.00 : 7,247.14 = 2,198.89 : x
  2. Step 2: Convert to fraction form
    4,832.00/7,247.14 = 2,198.89/x
  3. Step 3: Cross multiply
    4,832.00x = 7,247.14 × 2,198.89
  4. Step 4: Simplify right side
    4,832.00x = 15,935,646.85
  5. Step 5: Solve for x
    x = 15,935,646.85/4,832.00
  6. Step 6: Final answer
    x = 3,297.94

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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.