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Finding the Fourth Proportional to 3,797.66, 5,684.72 and 3,474.70

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Solution

The fourth proportional to 3,797.66, 5,684.72 and 3,474.70 is: 5,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.66 : 5,684.72 = 3,474.70 : x
  2. Step 2: Convert to fraction form
    3,797.66/5,684.72 = 3,474.70/x
  3. Step 3: Cross multiply
    3,797.66x = 5,684.72 × 3,474.70
  4. Step 4: Simplify right side
    3,797.66x = 19,752,696.58
  5. Step 5: Solve for x
    x = 19,752,696.58/3,797.66
  6. Step 6: Final answer
    x = 5,201.28

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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.