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Finding the Fourth Proportional to 3,991.50, 5,507.40 and 2,419.29

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Solution

The fourth proportional to 3,991.50, 5,507.40 and 2,419.29 is: 3,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.50 : 5,507.40 = 2,419.29 : x
  2. Step 2: Convert to fraction form
    3,991.50/5,507.40 = 2,419.29/x
  3. Step 3: Cross multiply
    3,991.50x = 5,507.40 × 2,419.29
  4. Step 4: Simplify right side
    3,991.50x = 13,323,997.75
  5. Step 5: Solve for x
    x = 13,323,997.75/3,991.50
  6. Step 6: Final answer
    x = 3,338.09

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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.