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Finding the Fourth Proportional to 4,276.56, 5,901 and 2,706.80

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Solution

The fourth proportional to 4,276.56, 5,901 and 2,706.80 is: 3,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.56 : 5,901 = 2,706.80 : x
  2. Step 2: Convert to fraction form
    4,276.56/5,901 = 2,706.80/x
  3. Step 3: Cross multiply
    4,276.56x = 5,901 × 2,706.80
  4. Step 4: Simplify right side
    4,276.56x = 15,972,826.80
  5. Step 5: Solve for x
    x = 15,972,826.80/4,276.56
  6. Step 6: Final answer
    x = 3,734.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.