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Finding the Fourth Proportional to 3,893.10, 5,839.65 and 3,160.86

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Solution

The fourth proportional to 3,893.10, 5,839.65 and 3,160.86 is: 4,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.10 : 5,839.65 = 3,160.86 : x
  2. Step 2: Convert to fraction form
    3,893.10/5,839.65 = 3,160.86/x
  3. Step 3: Cross multiply
    3,893.10x = 5,839.65 × 3,160.86
  4. Step 4: Simplify right side
    3,893.10x = 18,458,316.10
  5. Step 5: Solve for x
    x = 18,458,316.10/3,893.10
  6. Step 6: Final answer
    x = 4,741.29

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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.