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Finding the Fourth Proportional to 3,998.25, 5,516.37 and 3,159.09

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Solution

The fourth proportional to 3,998.25, 5,516.37 and 3,159.09 is: 4,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.25 : 5,516.37 = 3,159.09 : x
  2. Step 2: Convert to fraction form
    3,998.25/5,516.37 = 3,159.09/x
  3. Step 3: Cross multiply
    3,998.25x = 5,516.37 × 3,159.09
  4. Step 4: Simplify right side
    3,998.25x = 17,426,709.30
  5. Step 5: Solve for x
    x = 17,426,709.30/3,998.25
  6. Step 6: Final answer
    x = 4,358.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.