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Finding the Fourth Proportional to 4,171.77, 6,260.72 and 2,091.20

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Solution

The fourth proportional to 4,171.77, 6,260.72 and 2,091.20 is: 3,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.77 : 6,260.72 = 2,091.20 : x
  2. Step 2: Convert to fraction form
    4,171.77/6,260.72 = 2,091.20/x
  3. Step 3: Cross multiply
    4,171.77x = 6,260.72 × 2,091.20
  4. Step 4: Simplify right side
    4,171.77x = 13,092,375.90
  5. Step 5: Solve for x
    x = 13,092,375.90/4,171.77
  6. Step 6: Final answer
    x = 3,138.33

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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.