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Finding the Fourth Proportional to 3,797.30, 5,689.58 and 2,696.21

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Solution

The fourth proportional to 3,797.30, 5,689.58 and 2,696.21 is: 4,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.30 : 5,689.58 = 2,696.21 : x
  2. Step 2: Convert to fraction form
    3,797.30/5,689.58 = 2,696.21/x
  3. Step 3: Cross multiply
    3,797.30x = 5,689.58 × 2,696.21
  4. Step 4: Simplify right side
    3,797.30x = 15,340,281.90
  5. Step 5: Solve for x
    x = 15,340,281.90/3,797.30
  6. Step 6: Final answer
    x = 4,039.78

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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.