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Finding the Fourth Proportional to 4,197.86, 5,793.24 and 2,309.41

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Solution

The fourth proportional to 4,197.86, 5,793.24 and 2,309.41 is: 3,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.86 : 5,793.24 = 2,309.41 : x
  2. Step 2: Convert to fraction form
    4,197.86/5,793.24 = 2,309.41/x
  3. Step 3: Cross multiply
    4,197.86x = 5,793.24 × 2,309.41
  4. Step 4: Simplify right side
    4,197.86x = 13,378,925.88
  5. Step 5: Solve for x
    x = 13,378,925.88/4,197.86
  6. Step 6: Final answer
    x = 3,187.09

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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.