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Finding the Fourth Proportional to 3,761.64, 5,190.96 and 2,270.88

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Solution

The fourth proportional to 3,761.64, 5,190.96 and 2,270.88 is: 3,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.64 : 5,190.96 = 2,270.88 : x
  2. Step 2: Convert to fraction form
    3,761.64/5,190.96 = 2,270.88/x
  3. Step 3: Cross multiply
    3,761.64x = 5,190.96 × 2,270.88
  4. Step 4: Simplify right side
    3,761.64x = 11,788,047.24
  5. Step 5: Solve for x
    x = 11,788,047.24/3,761.64
  6. Step 6: Final answer
    x = 3,133.75

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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.