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Finding the Fourth Proportional to 5,846.86, 8,068.56 and 3,194.20

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Solution

The fourth proportional to 5,846.86, 8,068.56 and 3,194.20 is: 4,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.86 : 8,068.56 = 3,194.20 : x
  2. Step 2: Convert to fraction form
    5,846.86/8,068.56 = 3,194.20/x
  3. Step 3: Cross multiply
    5,846.86x = 8,068.56 × 3,194.20
  4. Step 4: Simplify right side
    5,846.86x = 25,772,594.35
  5. Step 5: Solve for x
    x = 25,772,594.35/5,846.86
  6. Step 6: Final answer
    x = 4,407.94

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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.