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Finding the Fourth Proportional to 5,489.16, 8,231.70 and 3,406.08

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Solution

The fourth proportional to 5,489.16, 8,231.70 and 3,406.08 is: 5,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.16 : 8,231.70 = 3,406.08 : x
  2. Step 2: Convert to fraction form
    5,489.16/8,231.70 = 3,406.08/x
  3. Step 3: Cross multiply
    5,489.16x = 8,231.70 × 3,406.08
  4. Step 4: Simplify right side
    5,489.16x = 28,037,828.74
  5. Step 5: Solve for x
    x = 28,037,828.74/5,489.16
  6. Step 6: Final answer
    x = 5,107.85

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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.