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Finding the Fourth Proportional to 4,324.42, 6,491.13 and 3,833.96

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Solution

The fourth proportional to 4,324.42, 6,491.13 and 3,833.96 is: 5,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.42 : 6,491.13 = 3,833.96 : x
  2. Step 2: Convert to fraction form
    4,324.42/6,491.13 = 3,833.96/x
  3. Step 3: Cross multiply
    4,324.42x = 6,491.13 × 3,833.96
  4. Step 4: Simplify right side
    4,324.42x = 24,886,732.77
  5. Step 5: Solve for x
    x = 24,886,732.77/4,324.42
  6. Step 6: Final answer
    x = 5,754.93

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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.