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Finding the Fourth Proportional to 3,574.53, 5,361.81 and 941.85

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Solution

The fourth proportional to 3,574.53, 5,361.81 and 941.85 is: 1,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.53 : 5,361.81 = 941.85 : x
  2. Step 2: Convert to fraction form
    3,574.53/5,361.81 = 941.85/x
  3. Step 3: Cross multiply
    3,574.53x = 5,361.81 × 941.85
  4. Step 4: Simplify right side
    3,574.53x = 5,050,020.75
  5. Step 5: Solve for x
    x = 5,050,020.75/3,574.53
  6. Step 6: Final answer
    x = 1,412.78

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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.