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Finding the Fourth Proportional to 3,589.48, 5,378.82 and 2,766.52

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Solution

The fourth proportional to 3,589.48, 5,378.82 and 2,766.52 is: 4,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.48 : 5,378.82 = 2,766.52 : x
  2. Step 2: Convert to fraction form
    3,589.48/5,378.82 = 2,766.52/x
  3. Step 3: Cross multiply
    3,589.48x = 5,378.82 × 2,766.52
  4. Step 4: Simplify right side
    3,589.48x = 14,880,613.11
  5. Step 5: Solve for x
    x = 14,880,613.11/3,589.48
  6. Step 6: Final answer
    x = 4,145.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.