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Finding the Fourth Proportional to 3,887.68, 5,365.14 and 2,209.37

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Solution

The fourth proportional to 3,887.68, 5,365.14 and 2,209.37 is: 3,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.68 : 5,365.14 = 2,209.37 : x
  2. Step 2: Convert to fraction form
    3,887.68/5,365.14 = 2,209.37/x
  3. Step 3: Cross multiply
    3,887.68x = 5,365.14 × 2,209.37
  4. Step 4: Simplify right side
    3,887.68x = 11,853,579.36
  5. Step 5: Solve for x
    x = 11,853,579.36/3,887.68
  6. Step 6: Final answer
    x = 3,049.01

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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.