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Finding the Fourth Proportional to 3,773.21, 5,657.20 and 1,433.36

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Solution

The fourth proportional to 3,773.21, 5,657.20 and 1,433.36 is: 2,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.21 : 5,657.20 = 1,433.36 : x
  2. Step 2: Convert to fraction form
    3,773.21/5,657.20 = 1,433.36/x
  3. Step 3: Cross multiply
    3,773.21x = 5,657.20 × 1,433.36
  4. Step 4: Simplify right side
    3,773.21x = 8,108,814.75
  5. Step 5: Solve for x
    x = 8,108,814.75/3,773.21
  6. Step 6: Final answer
    x = 2,149.05

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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.