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Finding the Fourth Proportional to 6,589.80, 9,093.46 and 3,605.57

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Solution

The fourth proportional to 6,589.80, 9,093.46 and 3,605.57 is: 4,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.80 : 9,093.46 = 3,605.57 : x
  2. Step 2: Convert to fraction form
    6,589.80/9,093.46 = 3,605.57/x
  3. Step 3: Cross multiply
    6,589.80x = 9,093.46 × 3,605.57
  4. Step 4: Simplify right side
    6,589.80x = 32,787,106.57
  5. Step 5: Solve for x
    x = 32,787,106.57/6,589.80
  6. Step 6: Final answer
    x = 4,975.43

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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.