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Finding the Fourth Proportional to 5,796.06, 8,694.99 and 2,097.90

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Solution

The fourth proportional to 5,796.06, 8,694.99 and 2,097.90 is: 3,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.06 : 8,694.99 = 2,097.90 : x
  2. Step 2: Convert to fraction form
    5,796.06/8,694.99 = 2,097.90/x
  3. Step 3: Cross multiply
    5,796.06x = 8,694.99 × 2,097.90
  4. Step 4: Simplify right side
    5,796.06x = 18,241,219.52
  5. Step 5: Solve for x
    x = 18,241,219.52/5,796.06
  6. Step 6: Final answer
    x = 3,147.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.