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Finding the Fourth Proportional to 3,902.55, 5,847.35 and 2,745.87

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Solution

The fourth proportional to 3,902.55, 5,847.35 and 2,745.87 is: 4,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.55 : 5,847.35 = 2,745.87 : x
  2. Step 2: Convert to fraction form
    3,902.55/5,847.35 = 2,745.87/x
  3. Step 3: Cross multiply
    3,902.55x = 5,847.35 × 2,745.87
  4. Step 4: Simplify right side
    3,902.55x = 16,056,049.22
  5. Step 5: Solve for x
    x = 16,056,049.22/3,902.55
  6. Step 6: Final answer
    x = 4,114.25

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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.