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Finding the Fourth Proportional to 4,309.66, 5,947.17 and 2,633.87

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Solution

The fourth proportional to 4,309.66, 5,947.17 and 2,633.87 is: 3,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.66 : 5,947.17 = 2,633.87 : x
  2. Step 2: Convert to fraction form
    4,309.66/5,947.17 = 2,633.87/x
  3. Step 3: Cross multiply
    4,309.66x = 5,947.17 × 2,633.87
  4. Step 4: Simplify right side
    4,309.66x = 15,664,072.65
  5. Step 5: Solve for x
    x = 15,664,072.65/4,309.66
  6. Step 6: Final answer
    x = 3,634.64

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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.