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Finding the Fourth Proportional to 4,589.43, 6,878.68 and 2,396.96

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Solution

The fourth proportional to 4,589.43, 6,878.68 and 2,396.96 is: 3,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.43 : 6,878.68 = 2,396.96 : x
  2. Step 2: Convert to fraction form
    4,589.43/6,878.68 = 2,396.96/x
  3. Step 3: Cross multiply
    4,589.43x = 6,878.68 × 2,396.96
  4. Step 4: Simplify right side
    4,589.43x = 16,487,932.02
  5. Step 5: Solve for x
    x = 16,487,932.02/4,589.43
  6. Step 6: Final answer
    x = 3,592.59

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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.