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Finding the Fourth Proportional to 5,468.59, 8,206.23 and 2,181.97

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Solution

The fourth proportional to 5,468.59, 8,206.23 and 2,181.97 is: 3,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.59 : 8,206.23 = 2,181.97 : x
  2. Step 2: Convert to fraction form
    5,468.59/8,206.23 = 2,181.97/x
  3. Step 3: Cross multiply
    5,468.59x = 8,206.23 × 2,181.97
  4. Step 4: Simplify right side
    5,468.59x = 17,905,706.64
  5. Step 5: Solve for x
    x = 17,905,706.64/5,468.59
  6. Step 6: Final answer
    x = 3,274.29

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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.