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Finding the Fourth Proportional to 5,412.89, 8,116.04 and 2,122.04

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Solution

The fourth proportional to 5,412.89, 8,116.04 and 2,122.04 is: 3,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.89 : 8,116.04 = 2,122.04 : x
  2. Step 2: Convert to fraction form
    5,412.89/8,116.04 = 2,122.04/x
  3. Step 3: Cross multiply
    5,412.89x = 8,116.04 × 2,122.04
  4. Step 4: Simplify right side
    5,412.89x = 17,222,526.25
  5. Step 5: Solve for x
    x = 17,222,526.25/5,412.89
  6. Step 6: Final answer
    x = 3,181.76

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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.