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Finding the Fourth Proportional to 4,202.54, 6,299.34 and 2,006.62

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Solution

The fourth proportional to 4,202.54, 6,299.34 and 2,006.62 is: 3,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.54 : 6,299.34 = 2,006.62 : x
  2. Step 2: Convert to fraction form
    4,202.54/6,299.34 = 2,006.62/x
  3. Step 3: Cross multiply
    4,202.54x = 6,299.34 × 2,006.62
  4. Step 4: Simplify right side
    4,202.54x = 12,640,381.63
  5. Step 5: Solve for x
    x = 12,640,381.63/4,202.54
  6. Step 6: Final answer
    x = 3,007.80

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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.