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Finding the Fourth Proportional to 5,796.45, 8,690.83 and 2,098.19

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Solution

The fourth proportional to 5,796.45, 8,690.83 and 2,098.19 is: 3,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.45 : 8,690.83 = 2,098.19 : x
  2. Step 2: Convert to fraction form
    5,796.45/8,690.83 = 2,098.19/x
  3. Step 3: Cross multiply
    5,796.45x = 8,690.83 × 2,098.19
  4. Step 4: Simplify right side
    5,796.45x = 18,235,012.60
  5. Step 5: Solve for x
    x = 18,235,012.60/5,796.45
  6. Step 6: Final answer
    x = 3,145.89

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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.