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Finding the Fourth Proportional to 5,474.08, 8,211.16 and 2,188

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Solution

The fourth proportional to 5,474.08, 8,211.16 and 2,188 is: 3,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.08 : 8,211.16 = 2,188 : x
  2. Step 2: Convert to fraction form
    5,474.08/8,211.16 = 2,188/x
  3. Step 3: Cross multiply
    5,474.08x = 8,211.16 × 2,188
  4. Step 4: Simplify right side
    5,474.08x = 17,966,018.08
  5. Step 5: Solve for x
    x = 17,966,018.08/5,474.08
  6. Step 6: Final answer
    x = 3,282.02

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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.