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Finding the Fourth Proportional to 3,926.68, 5,419.14 and 2,354.74

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Solution

The fourth proportional to 3,926.68, 5,419.14 and 2,354.74 is: 3,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.68 : 5,419.14 = 2,354.74 : x
  2. Step 2: Convert to fraction form
    3,926.68/5,419.14 = 2,354.74/x
  3. Step 3: Cross multiply
    3,926.68x = 5,419.14 × 2,354.74
  4. Step 4: Simplify right side
    3,926.68x = 12,760,665.72
  5. Step 5: Solve for x
    x = 12,760,665.72/3,926.68
  6. Step 6: Final answer
    x = 3,249.73

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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.