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Finding the Fourth Proportional to 3,759.83, 5,179.92 and 3,584.87

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Solution

The fourth proportional to 3,759.83, 5,179.92 and 3,584.87 is: 4,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.83 : 5,179.92 = 3,584.87 : x
  2. Step 2: Convert to fraction form
    3,759.83/5,179.92 = 3,584.87/x
  3. Step 3: Cross multiply
    3,759.83x = 5,179.92 × 3,584.87
  4. Step 4: Simplify right side
    3,759.83x = 18,569,339.81
  5. Step 5: Solve for x
    x = 18,569,339.81/3,759.83
  6. Step 6: Final answer
    x = 4,938.88

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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.