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Finding the Fourth Proportional to 3,414.60, 5,114.70 and 3,049.80

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Solution

The fourth proportional to 3,414.60, 5,114.70 and 3,049.80 is: 4,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.60 : 5,114.70 = 3,049.80 : x
  2. Step 2: Convert to fraction form
    3,414.60/5,114.70 = 3,049.80/x
  3. Step 3: Cross multiply
    3,414.60x = 5,114.70 × 3,049.80
  4. Step 4: Simplify right side
    3,414.60x = 15,598,812.06
  5. Step 5: Solve for x
    x = 15,598,812.06/3,414.60
  6. Step 6: Final answer
    x = 4,568.27

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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.