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Finding the Fourth Proportional to 4,914.70, 7,372.05 and 3,942.70

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Solution

The fourth proportional to 4,914.70, 7,372.05 and 3,942.70 is: 5,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.70 : 7,372.05 = 3,942.70 : x
  2. Step 2: Convert to fraction form
    4,914.70/7,372.05 = 3,942.70/x
  3. Step 3: Cross multiply
    4,914.70x = 7,372.05 × 3,942.70
  4. Step 4: Simplify right side
    4,914.70x = 29,065,781.54
  5. Step 5: Solve for x
    x = 29,065,781.54/4,914.70
  6. Step 6: Final answer
    x = 5,914.05

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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.