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Finding the Fourth Proportional to 3,589.38, 4,951.94 and 2,647.43

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Solution

The fourth proportional to 3,589.38, 4,951.94 and 2,647.43 is: 3,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.38 : 4,951.94 = 2,647.43 : x
  2. Step 2: Convert to fraction form
    3,589.38/4,951.94 = 2,647.43/x
  3. Step 3: Cross multiply
    3,589.38x = 4,951.94 × 2,647.43
  4. Step 4: Simplify right side
    3,589.38x = 13,109,901.28
  5. Step 5: Solve for x
    x = 13,109,901.28/3,589.38
  6. Step 6: Final answer
    x = 3,652.41

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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.