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Finding the Fourth Proportional to 3,794.34, 5,690.60 and 1,944.50

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Solution

The fourth proportional to 3,794.34, 5,690.60 and 1,944.50 is: 2,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.34 : 5,690.60 = 1,944.50 : x
  2. Step 2: Convert to fraction form
    3,794.34/5,690.60 = 1,944.50/x
  3. Step 3: Cross multiply
    3,794.34x = 5,690.60 × 1,944.50
  4. Step 4: Simplify right side
    3,794.34x = 11,065,361.98
  5. Step 5: Solve for x
    x = 11,065,361.98/3,794.34
  6. Step 6: Final answer
    x = 2,916.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.