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Finding the Fourth Proportional to 4,882.67, 7,324.01 and 1,184.88

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Solution

The fourth proportional to 4,882.67, 7,324.01 and 1,184.88 is: 1,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.67 : 7,324.01 = 1,184.88 : x
  2. Step 2: Convert to fraction form
    4,882.67/7,324.01 = 1,184.88/x
  3. Step 3: Cross multiply
    4,882.67x = 7,324.01 × 1,184.88
  4. Step 4: Simplify right side
    4,882.67x = 8,678,067.04
  5. Step 5: Solve for x
    x = 8,678,067.04/4,882.67
  6. Step 6: Final answer
    x = 1,777.32

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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.