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Finding the Fourth Proportional to 4,197.81, 5,793.08 and 2,309.37

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Solution

The fourth proportional to 4,197.81, 5,793.08 and 2,309.37 is: 3,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.81 : 5,793.08 = 2,309.37 : x
  2. Step 2: Convert to fraction form
    4,197.81/5,793.08 = 2,309.37/x
  3. Step 3: Cross multiply
    4,197.81x = 5,793.08 × 2,309.37
  4. Step 4: Simplify right side
    4,197.81x = 13,378,365.16
  5. Step 5: Solve for x
    x = 13,378,365.16/4,197.81
  6. Step 6: Final answer
    x = 3,186.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.