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Finding the Fourth Proportional to 4,100.77, 6,146.97 and 2,251.27

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Solution

The fourth proportional to 4,100.77, 6,146.97 and 2,251.27 is: 3,374.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.77 : 6,146.97 = 2,251.27 : x
  2. Step 2: Convert to fraction form
    4,100.77/6,146.97 = 2,251.27/x
  3. Step 3: Cross multiply
    4,100.77x = 6,146.97 × 2,251.27
  4. Step 4: Simplify right side
    4,100.77x = 13,838,489.15
  5. Step 5: Solve for x
    x = 13,838,489.15/4,100.77
  6. Step 6: Final answer
    x = 3,374.61

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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.