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Finding the Fourth Proportional to 5,589.74, 8,376.75 and 4,414.57

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Solution

The fourth proportional to 5,589.74, 8,376.75 and 4,414.57 is: 6,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.74 : 8,376.75 = 4,414.57 : x
  2. Step 2: Convert to fraction form
    5,589.74/8,376.75 = 4,414.57/x
  3. Step 3: Cross multiply
    5,589.74x = 8,376.75 × 4,414.57
  4. Step 4: Simplify right side
    5,589.74x = 36,979,728.31
  5. Step 5: Solve for x
    x = 36,979,728.31/5,589.74
  6. Step 6: Final answer
    x = 6,615.64

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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.