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Finding the Fourth Proportional to 6,593.20, 9,098.83 and 3,609.16

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Solution

The fourth proportional to 6,593.20, 9,098.83 and 3,609.16 is: 4,980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.20 : 9,098.83 = 3,609.16 : x
  2. Step 2: Convert to fraction form
    6,593.20/9,098.83 = 3,609.16/x
  3. Step 3: Cross multiply
    6,593.20x = 9,098.83 × 3,609.16
  4. Step 4: Simplify right side
    6,593.20x = 32,839,115.05
  5. Step 5: Solve for x
    x = 32,839,115.05/6,593.20
  6. Step 6: Final answer
    x = 4,980.76

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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.