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Finding the Fourth Proportional to 5,589.81, 7,711.25 and 3,599.73

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Solution

The fourth proportional to 5,589.81, 7,711.25 and 3,599.73 is: 4,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.81 : 7,711.25 = 3,599.73 : x
  2. Step 2: Convert to fraction form
    5,589.81/7,711.25 = 3,599.73/x
  3. Step 3: Cross multiply
    5,589.81x = 7,711.25 × 3,599.73
  4. Step 4: Simplify right side
    5,589.81x = 27,758,399.96
  5. Step 5: Solve for x
    x = 27,758,399.96/5,589.81
  6. Step 6: Final answer
    x = 4,965.89

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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.