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Finding the Fourth Proportional to 3,892.89, 5,840.35 and 1,295.85

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Solution

The fourth proportional to 3,892.89, 5,840.35 and 1,295.85 is: 1,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.89 : 5,840.35 = 1,295.85 : x
  2. Step 2: Convert to fraction form
    3,892.89/5,840.35 = 1,295.85/x
  3. Step 3: Cross multiply
    3,892.89x = 5,840.35 × 1,295.85
  4. Step 4: Simplify right side
    3,892.89x = 7,568,217.55
  5. Step 5: Solve for x
    x = 7,568,217.55/3,892.89
  6. Step 6: Final answer
    x = 1,944.11

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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.