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Finding the Fourth Proportional to 5,738.27, 8,589.53 and 4,418.61

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Solution

The fourth proportional to 5,738.27, 8,589.53 and 4,418.61 is: 6,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.27 : 8,589.53 = 4,418.61 : x
  2. Step 2: Convert to fraction form
    5,738.27/8,589.53 = 4,418.61/x
  3. Step 3: Cross multiply
    5,738.27x = 8,589.53 × 4,418.61
  4. Step 4: Simplify right side
    5,738.27x = 37,953,718.11
  5. Step 5: Solve for x
    x = 37,953,718.11/5,738.27
  6. Step 6: Final answer
    x = 6,614.14

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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.