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Finding the Fourth Proportional to 3,673.56, 5,067.24 and 2,414.76

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Solution

The fourth proportional to 3,673.56, 5,067.24 and 2,414.76 is: 3,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.56 : 5,067.24 = 2,414.76 : x
  2. Step 2: Convert to fraction form
    3,673.56/5,067.24 = 2,414.76/x
  3. Step 3: Cross multiply
    3,673.56x = 5,067.24 × 2,414.76
  4. Step 4: Simplify right side
    3,673.56x = 12,236,168.46
  5. Step 5: Solve for x
    x = 12,236,168.46/3,673.56
  6. Step 6: Final answer
    x = 3,330.87

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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.