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Finding the Fourth Proportional to 3,887.73, 5,365.24 and 2,209.41

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Solution

The fourth proportional to 3,887.73, 5,365.24 and 2,209.41 is: 3,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.73 : 5,365.24 = 2,209.41 : x
  2. Step 2: Convert to fraction form
    3,887.73/5,365.24 = 2,209.41/x
  3. Step 3: Cross multiply
    3,887.73x = 5,365.24 × 2,209.41
  4. Step 4: Simplify right side
    3,887.73x = 11,854,009.38
  5. Step 5: Solve for x
    x = 11,854,009.38/3,887.73
  6. Step 6: Final answer
    x = 3,049.08

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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.