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Finding the Fourth Proportional to 4,113.56, 6,167.60 and 2,265.54

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Solution

The fourth proportional to 4,113.56, 6,167.60 and 2,265.54 is: 3,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.56 : 6,167.60 = 2,265.54 : x
  2. Step 2: Convert to fraction form
    4,113.56/6,167.60 = 2,265.54/x
  3. Step 3: Cross multiply
    4,113.56x = 6,167.60 × 2,265.54
  4. Step 4: Simplify right side
    4,113.56x = 13,972,944.50
  5. Step 5: Solve for x
    x = 13,972,944.50/4,113.56
  6. Step 6: Final answer
    x = 3,396.80

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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.