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Finding the Fourth Proportional to 5,913.83, 8,863.20 and 3,141.83

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Solution

The fourth proportional to 5,913.83, 8,863.20 and 3,141.83 is: 4,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.83 : 8,863.20 = 3,141.83 : x
  2. Step 2: Convert to fraction form
    5,913.83/8,863.20 = 3,141.83/x
  3. Step 3: Cross multiply
    5,913.83x = 8,863.20 × 3,141.83
  4. Step 4: Simplify right side
    5,913.83x = 27,846,623.34
  5. Step 5: Solve for x
    x = 27,846,623.34/5,913.83
  6. Step 6: Final answer
    x = 4,708.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.