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Finding the Fourth Proportional to 5,474.12, 8,208.24 and 1,725.20

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Solution

The fourth proportional to 5,474.12, 8,208.24 and 1,725.20 is: 2,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.12 : 8,208.24 = 1,725.20 : x
  2. Step 2: Convert to fraction form
    5,474.12/8,208.24 = 1,725.20/x
  3. Step 3: Cross multiply
    5,474.12x = 8,208.24 × 1,725.20
  4. Step 4: Simplify right side
    5,474.12x = 14,160,855.65
  5. Step 5: Solve for x
    x = 14,160,855.65/5,474.12
  6. Step 6: Final answer
    x = 2,586.87

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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.