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Finding the Fourth Proportional to 3,998.68, 5,517.66 and 2,320.06

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Solution

The fourth proportional to 3,998.68, 5,517.66 and 2,320.06 is: 3,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.68 : 5,517.66 = 2,320.06 : x
  2. Step 2: Convert to fraction form
    3,998.68/5,517.66 = 2,320.06/x
  3. Step 3: Cross multiply
    3,998.68x = 5,517.66 × 2,320.06
  4. Step 4: Simplify right side
    3,998.68x = 12,801,302.26
  5. Step 5: Solve for x
    x = 12,801,302.26/3,998.68
  6. Step 6: Final answer
    x = 3,201.38

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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.