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Finding the Fourth Proportional to 3,338.01, 5,006.96 and 872.97

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Solution

The fourth proportional to 3,338.01, 5,006.96 and 872.97 is: 1,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.01 : 5,006.96 = 872.97 : x
  2. Step 2: Convert to fraction form
    3,338.01/5,006.96 = 872.97/x
  3. Step 3: Cross multiply
    3,338.01x = 5,006.96 × 872.97
  4. Step 4: Simplify right side
    3,338.01x = 4,370,921.51
  5. Step 5: Solve for x
    x = 4,370,921.51/3,338.01
  6. Step 6: Final answer
    x = 1,309.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.