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Finding the Fourth Proportional to 3,449.70, 5,174.55 and 3,428.10

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Solution

The fourth proportional to 3,449.70, 5,174.55 and 3,428.10 is: 5,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.70 : 5,174.55 = 3,428.10 : x
  2. Step 2: Convert to fraction form
    3,449.70/5,174.55 = 3,428.10/x
  3. Step 3: Cross multiply
    3,449.70x = 5,174.55 × 3,428.10
  4. Step 4: Simplify right side
    3,449.70x = 17,738,874.86
  5. Step 5: Solve for x
    x = 17,738,874.86/3,449.70
  6. Step 6: Final answer
    x = 5,142.15

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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.