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Finding the Fourth Proportional to 5,589.30, 8,376.09 and 4,414.12

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Solution

The fourth proportional to 5,589.30, 8,376.09 and 4,414.12 is: 6,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.30 : 8,376.09 = 4,414.12 : x
  2. Step 2: Convert to fraction form
    5,589.30/8,376.09 = 4,414.12/x
  3. Step 3: Cross multiply
    5,589.30x = 8,376.09 × 4,414.12
  4. Step 4: Simplify right side
    5,589.30x = 36,973,066.39
  5. Step 5: Solve for x
    x = 36,973,066.39/5,589.30
  6. Step 6: Final answer
    x = 6,614.97

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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.