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Finding the Fourth Proportional to 5,794.96, 8,691.87 and 1,634.90

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Solution

The fourth proportional to 5,794.96, 8,691.87 and 1,634.90 is: 2,452.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.96 : 8,691.87 = 1,634.90 : x
  2. Step 2: Convert to fraction form
    5,794.96/8,691.87 = 1,634.90/x
  3. Step 3: Cross multiply
    5,794.96x = 8,691.87 × 1,634.90
  4. Step 4: Simplify right side
    5,794.96x = 14,210,338.26
  5. Step 5: Solve for x
    x = 14,210,338.26/5,794.96
  6. Step 6: Final answer
    x = 2,452.19

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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.