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Finding the Fourth Proportional to 5,937.86, 8,194.02 and 3,841.94

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Solution

The fourth proportional to 5,937.86, 8,194.02 and 3,841.94 is: 5,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.86 : 8,194.02 = 3,841.94 : x
  2. Step 2: Convert to fraction form
    5,937.86/8,194.02 = 3,841.94/x
  3. Step 3: Cross multiply
    5,937.86x = 8,194.02 × 3,841.94
  4. Step 4: Simplify right side
    5,937.86x = 31,480,933.20
  5. Step 5: Solve for x
    x = 31,480,933.20/5,937.86
  6. Step 6: Final answer
    x = 5,301.73

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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.