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Finding the Fourth Proportional to 5,896.40, 8,845.50 and 2,199.15

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Solution

The fourth proportional to 5,896.40, 8,845.50 and 2,199.15 is: 3,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.40 : 8,845.50 = 2,199.15 : x
  2. Step 2: Convert to fraction form
    5,896.40/8,845.50 = 2,199.15/x
  3. Step 3: Cross multiply
    5,896.40x = 8,845.50 × 2,199.15
  4. Step 4: Simplify right side
    5,896.40x = 19,452,589.57
  5. Step 5: Solve for x
    x = 19,452,589.57/5,896.40
  6. Step 6: Final answer
    x = 3,299.06

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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.