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Finding the Fourth Proportional to 6,589.90, 9,093.96 and 3,605.66

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Solution

The fourth proportional to 6,589.90, 9,093.96 and 3,605.66 is: 4,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.90 : 9,093.96 = 3,605.66 : x
  2. Step 2: Convert to fraction form
    6,589.90/9,093.96 = 3,605.66/x
  3. Step 3: Cross multiply
    6,589.90x = 9,093.96 × 3,605.66
  4. Step 4: Simplify right side
    6,589.90x = 32,789,727.81
  5. Step 5: Solve for x
    x = 32,789,727.81/6,589.90
  6. Step 6: Final answer
    x = 4,975.75

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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.