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Finding the Fourth Proportional to 4,638.26, 6,946.46 and 3,589.87

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Solution

The fourth proportional to 4,638.26, 6,946.46 and 3,589.87 is: 5,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.26 : 6,946.46 = 3,589.87 : x
  2. Step 2: Convert to fraction form
    4,638.26/6,946.46 = 3,589.87/x
  3. Step 3: Cross multiply
    4,638.26x = 6,946.46 × 3,589.87
  4. Step 4: Simplify right side
    4,638.26x = 24,936,879.53
  5. Step 5: Solve for x
    x = 24,936,879.53/4,638.26
  6. Step 6: Final answer
    x = 5,376.34

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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.