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Finding the Fourth Proportional to 3,689.64, 5,091.84 and 2,273.04

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Solution

The fourth proportional to 3,689.64, 5,091.84 and 2,273.04 is: 3,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.64 : 5,091.84 = 2,273.04 : x
  2. Step 2: Convert to fraction form
    3,689.64/5,091.84 = 2,273.04/x
  3. Step 3: Cross multiply
    3,689.64x = 5,091.84 × 2,273.04
  4. Step 4: Simplify right side
    3,689.64x = 11,573,955.99
  5. Step 5: Solve for x
    x = 11,573,955.99/3,689.64
  6. Step 6: Final answer
    x = 3,136.88

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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.