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Finding the Fourth Proportional to 3,183.62, 4,773.51 and 1,428.30

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Solution

The fourth proportional to 3,183.62, 4,773.51 and 1,428.30 is: 2,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.62 : 4,773.51 = 1,428.30 : x
  2. Step 2: Convert to fraction form
    3,183.62/4,773.51 = 1,428.30/x
  3. Step 3: Cross multiply
    3,183.62x = 4,773.51 × 1,428.30
  4. Step 4: Simplify right side
    3,183.62x = 6,818,004.33
  5. Step 5: Solve for x
    x = 6,818,004.33/3,183.62
  6. Step 6: Final answer
    x = 2,141.59

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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.