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Finding the Fourth Proportional to 3,991.68, 5,508.54 and 2,419.38

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Solution

The fourth proportional to 3,991.68, 5,508.54 and 2,419.38 is: 3,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.68 : 5,508.54 = 2,419.38 : x
  2. Step 2: Convert to fraction form
    3,991.68/5,508.54 = 2,419.38/x
  3. Step 3: Cross multiply
    3,991.68x = 5,508.54 × 2,419.38
  4. Step 4: Simplify right side
    3,991.68x = 13,327,251.51
  5. Step 5: Solve for x
    x = 13,327,251.51/3,991.68
  6. Step 6: Final answer
    x = 3,338.76

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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.