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Finding the Fourth Proportional to 5,896.90, 8,841.03 and 2,199.12

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Solution

The fourth proportional to 5,896.90, 8,841.03 and 2,199.12 is: 3,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.90 : 8,841.03 = 2,199.12 : x
  2. Step 2: Convert to fraction form
    5,896.90/8,841.03 = 2,199.12/x
  3. Step 3: Cross multiply
    5,896.90x = 8,841.03 × 2,199.12
  4. Step 4: Simplify right side
    5,896.90x = 19,442,485.89
  5. Step 5: Solve for x
    x = 19,442,485.89/5,896.90
  6. Step 6: Final answer
    x = 3,297.07

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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.