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Finding the Fourth Proportional to 3,689.52, 5,091.42 and 2,096.04

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Solution

The fourth proportional to 3,689.52, 5,091.42 and 2,096.04 is: 2,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.52 : 5,091.42 = 2,096.04 : x
  2. Step 2: Convert to fraction form
    3,689.52/5,091.42 = 2,096.04/x
  3. Step 3: Cross multiply
    3,689.52x = 5,091.42 × 2,096.04
  4. Step 4: Simplify right side
    3,689.52x = 10,671,819.98
  5. Step 5: Solve for x
    x = 10,671,819.98/3,689.52
  6. Step 6: Final answer
    x = 2,892.47

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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.