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Finding the Fourth Proportional to 4,194.06, 5,786.19 and 2,701.86

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Solution

The fourth proportional to 4,194.06, 5,786.19 and 2,701.86 is: 3,727.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.06 : 5,786.19 = 2,701.86 : x
  2. Step 2: Convert to fraction form
    4,194.06/5,786.19 = 2,701.86/x
  3. Step 3: Cross multiply
    4,194.06x = 5,786.19 × 2,701.86
  4. Step 4: Simplify right side
    4,194.06x = 15,633,475.31
  5. Step 5: Solve for x
    x = 15,633,475.31/4,194.06
  6. Step 6: Final answer
    x = 3,727.53

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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.