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Finding the Fourth Proportional to 3,666.21, 5,495.86 and 1,199.31

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Solution

The fourth proportional to 3,666.21, 5,495.86 and 1,199.31 is: 1,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.21 : 5,495.86 = 1,199.31 : x
  2. Step 2: Convert to fraction form
    3,666.21/5,495.86 = 1,199.31/x
  3. Step 3: Cross multiply
    3,666.21x = 5,495.86 × 1,199.31
  4. Step 4: Simplify right side
    3,666.21x = 6,591,239.86
  5. Step 5: Solve for x
    x = 6,591,239.86/3,666.21
  6. Step 6: Final answer
    x = 1,797.83

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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.