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Finding the Fourth Proportional to 5,863.92, 8,089.44 and 3,472.38

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Solution

The fourth proportional to 5,863.92, 8,089.44 and 3,472.38 is: 4,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.92 : 8,089.44 = 3,472.38 : x
  2. Step 2: Convert to fraction form
    5,863.92/8,089.44 = 3,472.38/x
  3. Step 3: Cross multiply
    5,863.92x = 8,089.44 × 3,472.38
  4. Step 4: Simplify right side
    5,863.92x = 28,089,609.67
  5. Step 5: Solve for x
    x = 28,089,609.67/5,863.92
  6. Step 6: Final answer
    x = 4,790.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.