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Finding the Fourth Proportional to 3,860.26, 5,789.17 and 1,394.75

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Solution

The fourth proportional to 3,860.26, 5,789.17 and 1,394.75 is: 2,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.26 : 5,789.17 = 1,394.75 : x
  2. Step 2: Convert to fraction form
    3,860.26/5,789.17 = 1,394.75/x
  3. Step 3: Cross multiply
    3,860.26x = 5,789.17 × 1,394.75
  4. Step 4: Simplify right side
    3,860.26x = 8,074,444.86
  5. Step 5: Solve for x
    x = 8,074,444.86/3,860.26
  6. Step 6: Final answer
    x = 2,091.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.