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Finding the Fourth Proportional to 3,999.68, 6,002.64 and 2,775.71

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Solution

The fourth proportional to 3,999.68, 6,002.64 and 2,775.71 is: 4,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.68 : 6,002.64 = 2,775.71 : x
  2. Step 2: Convert to fraction form
    3,999.68/6,002.64 = 2,775.71/x
  3. Step 3: Cross multiply
    3,999.68x = 6,002.64 × 2,775.71
  4. Step 4: Simplify right side
    3,999.68x = 16,661,587.87
  5. Step 5: Solve for x
    x = 16,661,587.87/3,999.68
  6. Step 6: Final answer
    x = 4,165.73

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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.