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Finding the Fourth Proportional to 3,858.98, 5,793.30 and 3,654.86

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Solution

The fourth proportional to 3,858.98, 5,793.30 and 3,654.86 is: 5,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.98 : 5,793.30 = 3,654.86 : x
  2. Step 2: Convert to fraction form
    3,858.98/5,793.30 = 3,654.86/x
  3. Step 3: Cross multiply
    3,858.98x = 5,793.30 × 3,654.86
  4. Step 4: Simplify right side
    3,858.98x = 21,173,700.44
  5. Step 5: Solve for x
    x = 21,173,700.44/3,858.98
  6. Step 6: Final answer
    x = 5,486.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.