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Finding the Fourth Proportional to 3,998.86, 5,996.96 and 1,401.18

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Solution

The fourth proportional to 3,998.86, 5,996.96 and 1,401.18 is: 2,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.86 : 5,996.96 = 1,401.18 : x
  2. Step 2: Convert to fraction form
    3,998.86/5,996.96 = 1,401.18/x
  3. Step 3: Cross multiply
    3,998.86x = 5,996.96 × 1,401.18
  4. Step 4: Simplify right side
    3,998.86x = 8,402,820.41
  5. Step 5: Solve for x
    x = 8,402,820.41/3,998.86
  6. Step 6: Final answer
    x = 2,101.30

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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.