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Finding the Fourth Proportional to 3,729.46, 5,142 and 2,843.86

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Solution

The fourth proportional to 3,729.46, 5,142 and 2,843.86 is: 3,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.46 : 5,142 = 2,843.86 : x
  2. Step 2: Convert to fraction form
    3,729.46/5,142 = 2,843.86/x
  3. Step 3: Cross multiply
    3,729.46x = 5,142 × 2,843.86
  4. Step 4: Simplify right side
    3,729.46x = 14,623,128.12
  5. Step 5: Solve for x
    x = 14,623,128.12/3,729.46
  6. Step 6: Final answer
    x = 3,920.98

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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.