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Finding the Fourth Proportional to 3,322.87, 4,998.21 and 2,769.29

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Solution

The fourth proportional to 3,322.87, 4,998.21 and 2,769.29 is: 4,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.87 : 4,998.21 = 2,769.29 : x
  2. Step 2: Convert to fraction form
    3,322.87/4,998.21 = 2,769.29/x
  3. Step 3: Cross multiply
    3,322.87x = 4,998.21 × 2,769.29
  4. Step 4: Simplify right side
    3,322.87x = 13,841,476.34
  5. Step 5: Solve for x
    x = 13,841,476.34/3,322.87
  6. Step 6: Final answer
    x = 4,165.51

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Why These Related Problems?

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