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Finding the Fourth Proportional to 5,586.26, 7,709.04 and 3,817.82

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Solution

The fourth proportional to 5,586.26, 7,709.04 and 3,817.82 is: 5,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.26 : 7,709.04 = 3,817.82 : x
  2. Step 2: Convert to fraction form
    5,586.26/7,709.04 = 3,817.82/x
  3. Step 3: Cross multiply
    5,586.26x = 7,709.04 × 3,817.82
  4. Step 4: Simplify right side
    5,586.26x = 29,431,727.09
  5. Step 5: Solve for x
    x = 29,431,727.09/5,586.26
  6. Step 6: Final answer
    x = 5,268.59

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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.