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Finding the Fourth Proportional to 6,589.61, 9,093.60 and 3,605.47

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Solution

The fourth proportional to 6,589.61, 9,093.60 and 3,605.47 is: 4,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.61 : 9,093.60 = 3,605.47 : x
  2. Step 2: Convert to fraction form
    6,589.61/9,093.60 = 3,605.47/x
  3. Step 3: Cross multiply
    6,589.61x = 9,093.60 × 3,605.47
  4. Step 4: Simplify right side
    6,589.61x = 32,786,701.99
  5. Step 5: Solve for x
    x = 32,786,701.99/6,589.61
  6. Step 6: Final answer
    x = 4,975.51

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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.