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Finding the Fourth Proportional to 4,002.68, 5,999.57 and 1,661.37

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Solution

The fourth proportional to 4,002.68, 5,999.57 and 1,661.37 is: 2,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.68 : 5,999.57 = 1,661.37 : x
  2. Step 2: Convert to fraction form
    4,002.68/5,999.57 = 1,661.37/x
  3. Step 3: Cross multiply
    4,002.68x = 5,999.57 × 1,661.37
  4. Step 4: Simplify right side
    4,002.68x = 9,967,505.61
  5. Step 5: Solve for x
    x = 9,967,505.61/4,002.68
  6. Step 6: Final answer
    x = 2,490.21

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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.