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Finding the Fourth Proportional to 4,350.96, 6,524.64 and 1,576.96

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Solution

The fourth proportional to 4,350.96, 6,524.64 and 1,576.96 is: 2,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350.96 : 6,524.64 = 1,576.96 : x
  2. Step 2: Convert to fraction form
    4,350.96/6,524.64 = 1,576.96/x
  3. Step 3: Cross multiply
    4,350.96x = 6,524.64 × 1,576.96
  4. Step 4: Simplify right side
    4,350.96x = 10,289,096.29
  5. Step 5: Solve for x
    x = 10,289,096.29/4,350.96
  6. Step 6: Final answer
    x = 2,364.79

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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.