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Finding the Fourth Proportional to 3,998.42, 5,999.66 and 2,697.16

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Solution

The fourth proportional to 3,998.42, 5,999.66 and 2,697.16 is: 4,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.42 : 5,999.66 = 2,697.16 : x
  2. Step 2: Convert to fraction form
    3,998.42/5,999.66 = 2,697.16/x
  3. Step 3: Cross multiply
    3,998.42x = 5,999.66 × 2,697.16
  4. Step 4: Simplify right side
    3,998.42x = 16,182,021.22
  5. Step 5: Solve for x
    x = 16,182,021.22/3,998.42
  6. Step 6: Final answer
    x = 4,047.10

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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.