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Finding the Fourth Proportional to 4,591.62, 6,896.68 and 2,746.37

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Solution

The fourth proportional to 4,591.62, 6,896.68 and 2,746.37 is: 4,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.62 : 6,896.68 = 2,746.37 : x
  2. Step 2: Convert to fraction form
    4,591.62/6,896.68 = 2,746.37/x
  3. Step 3: Cross multiply
    4,591.62x = 6,896.68 × 2,746.37
  4. Step 4: Simplify right side
    4,591.62x = 18,940,845.43
  5. Step 5: Solve for x
    x = 18,940,845.43/4,591.62
  6. Step 6: Final answer
    x = 4,125.09

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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.