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Finding the Fourth Proportional to 5,399.30, 8,089.84 and 3,314.97

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Solution

The fourth proportional to 5,399.30, 8,089.84 and 3,314.97 is: 4,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.30 : 8,089.84 = 3,314.97 : x
  2. Step 2: Convert to fraction form
    5,399.30/8,089.84 = 3,314.97/x
  3. Step 3: Cross multiply
    5,399.30x = 8,089.84 × 3,314.97
  4. Step 4: Simplify right side
    5,399.30x = 26,817,568.62
  5. Step 5: Solve for x
    x = 26,817,568.62/5,399.30
  6. Step 6: Final answer
    x = 4,966.86

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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.