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Finding the Fourth Proportional to 3,899.86, 5,382.17 and 2,131.73

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Solution

The fourth proportional to 3,899.86, 5,382.17 and 2,131.73 is: 2,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.86 : 5,382.17 = 2,131.73 : x
  2. Step 2: Convert to fraction form
    3,899.86/5,382.17 = 2,131.73/x
  3. Step 3: Cross multiply
    3,899.86x = 5,382.17 × 2,131.73
  4. Step 4: Simplify right side
    3,899.86x = 11,473,311.67
  5. Step 5: Solve for x
    x = 11,473,311.67/3,899.86
  6. Step 6: Final answer
    x = 2,941.98

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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.