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Finding the Fourth Proportional to 5,296.60, 7,947.50 and 2,133.91

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Solution

The fourth proportional to 5,296.60, 7,947.50 and 2,133.91 is: 3,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.60 : 7,947.50 = 2,133.91 : x
  2. Step 2: Convert to fraction form
    5,296.60/7,947.50 = 2,133.91/x
  3. Step 3: Cross multiply
    5,296.60x = 7,947.50 × 2,133.91
  4. Step 4: Simplify right side
    5,296.60x = 16,959,234.09
  5. Step 5: Solve for x
    x = 16,959,234.09/5,296.60
  6. Step 6: Final answer
    x = 3,201.91

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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.