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Finding the Fourth Proportional to 4,107.38, 5,664.87 and 2,614.82

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Solution

The fourth proportional to 4,107.38, 5,664.87 and 2,614.82 is: 3,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.38 : 5,664.87 = 2,614.82 : x
  2. Step 2: Convert to fraction form
    4,107.38/5,664.87 = 2,614.82/x
  3. Step 3: Cross multiply
    4,107.38x = 5,664.87 × 2,614.82
  4. Step 4: Simplify right side
    4,107.38x = 14,812,587.05
  5. Step 5: Solve for x
    x = 14,812,587.05/4,107.38
  6. Step 6: Final answer
    x = 3,606.34

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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.