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Finding the Fourth Proportional to 3,396.87, 5,096.04 and 1,175.70

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Solution

The fourth proportional to 3,396.87, 5,096.04 and 1,175.70 is: 1,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.87 : 5,096.04 = 1,175.70 : x
  2. Step 2: Convert to fraction form
    3,396.87/5,096.04 = 1,175.70/x
  3. Step 3: Cross multiply
    3,396.87x = 5,096.04 × 1,175.70
  4. Step 4: Simplify right side
    3,396.87x = 5,991,414.23
  5. Step 5: Solve for x
    x = 5,991,414.23/3,396.87
  6. Step 6: Final answer
    x = 1,763.80

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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.