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Finding the Fourth Proportional to 6,411.62, 8,847.73 and 3,578.83

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Solution

The fourth proportional to 6,411.62, 8,847.73 and 3,578.83 is: 4,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.62 : 8,847.73 = 3,578.83 : x
  2. Step 2: Convert to fraction form
    6,411.62/8,847.73 = 3,578.83/x
  3. Step 3: Cross multiply
    6,411.62x = 8,847.73 × 3,578.83
  4. Step 4: Simplify right side
    6,411.62x = 31,664,521.56
  5. Step 5: Solve for x
    x = 31,664,521.56/6,411.62
  6. Step 6: Final answer
    x = 4,938.61

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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.