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Finding the Fourth Proportional to 5,899.02, 8,143.16 and 4,198.62

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Solution

The fourth proportional to 5,899.02, 8,143.16 and 4,198.62 is: 5,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.02 : 8,143.16 = 4,198.62 : x
  2. Step 2: Convert to fraction form
    5,899.02/8,143.16 = 4,198.62/x
  3. Step 3: Cross multiply
    5,899.02x = 8,143.16 × 4,198.62
  4. Step 4: Simplify right side
    5,899.02x = 34,190,034.44
  5. Step 5: Solve for x
    x = 34,190,034.44/5,899.02
  6. Step 6: Final answer
    x = 5,795.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.