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Finding the Fourth Proportional to 4,350.96, 6,522.42 and 1,576.97

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Solution

The fourth proportional to 4,350.96, 6,522.42 and 1,576.97 is: 2,363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350.96 : 6,522.42 = 1,576.97 : x
  2. Step 2: Convert to fraction form
    4,350.96/6,522.42 = 1,576.97/x
  3. Step 3: Cross multiply
    4,350.96x = 6,522.42 × 1,576.97
  4. Step 4: Simplify right side
    4,350.96x = 10,285,620.17
  5. Step 5: Solve for x
    x = 10,285,620.17/4,350.96
  6. Step 6: Final answer
    x = 2,363.99

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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.