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Finding the Fourth Proportional to 4,073.70, 6,114.60 and 1,996.05

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Solution

The fourth proportional to 4,073.70, 6,114.60 and 1,996.05 is: 2,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.70 : 6,114.60 = 1,996.05 : x
  2. Step 2: Convert to fraction form
    4,073.70/6,114.60 = 1,996.05/x
  3. Step 3: Cross multiply
    4,073.70x = 6,114.60 × 1,996.05
  4. Step 4: Simplify right side
    4,073.70x = 12,205,047.33
  5. Step 5: Solve for x
    x = 12,205,047.33/4,073.70
  6. Step 6: Final answer
    x = 2,996.06

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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.