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Finding the Fourth Proportional to 3,896.60, 5,847.60 and 2,513.30

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Solution

The fourth proportional to 3,896.60, 5,847.60 and 2,513.30 is: 3,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.60 : 5,847.60 = 2,513.30 : x
  2. Step 2: Convert to fraction form
    3,896.60/5,847.60 = 2,513.30/x
  3. Step 3: Cross multiply
    3,896.60x = 5,847.60 × 2,513.30
  4. Step 4: Simplify right side
    3,896.60x = 14,696,773.08
  5. Step 5: Solve for x
    x = 14,696,773.08/3,896.60
  6. Step 6: Final answer
    x = 3,771.69

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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.