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Finding the Fourth Proportional to 6,589.46, 9,093.38 and 3,605.26

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Solution

The fourth proportional to 6,589.46, 9,093.38 and 3,605.26 is: 4,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.46 : 9,093.38 = 3,605.26 : x
  2. Step 2: Convert to fraction form
    6,589.46/9,093.38 = 3,605.26/x
  3. Step 3: Cross multiply
    6,589.46x = 9,093.38 × 3,605.26
  4. Step 4: Simplify right side
    6,589.46x = 32,783,935.69
  5. Step 5: Solve for x
    x = 32,783,935.69/6,589.46
  6. Step 6: Final answer
    x = 4,975.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.