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Finding the Fourth Proportional to 3,796.36, 5,687.70 and 3,567.63

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Solution

The fourth proportional to 3,796.36, 5,687.70 and 3,567.63 is: 5,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.36 : 5,687.70 = 3,567.63 : x
  2. Step 2: Convert to fraction form
    3,796.36/5,687.70 = 3,567.63/x
  3. Step 3: Cross multiply
    3,796.36x = 5,687.70 × 3,567.63
  4. Step 4: Simplify right side
    3,796.36x = 20,291,609.15
  5. Step 5: Solve for x
    x = 20,291,609.15/3,796.36
  6. Step 6: Final answer
    x = 5,345.02

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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.