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Finding the Fourth Proportional to 3,729.78, 5,147.82 and 2,157.98

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Solution

The fourth proportional to 3,729.78, 5,147.82 and 2,157.98 is: 2,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.78 : 5,147.82 = 2,157.98 : x
  2. Step 2: Convert to fraction form
    3,729.78/5,147.82 = 2,157.98/x
  3. Step 3: Cross multiply
    3,729.78x = 5,147.82 × 2,157.98
  4. Step 4: Simplify right side
    3,729.78x = 11,108,866.86
  5. Step 5: Solve for x
    x = 11,108,866.86/3,729.78
  6. Step 6: Final answer
    x = 2,978.42

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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.