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Finding the Fourth Proportional to 3,838.53, 5,758.64 and 1,241.43

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Solution

The fourth proportional to 3,838.53, 5,758.64 and 1,241.43 is: 1,862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.53 : 5,758.64 = 1,241.43 : x
  2. Step 2: Convert to fraction form
    3,838.53/5,758.64 = 1,241.43/x
  3. Step 3: Cross multiply
    3,838.53x = 5,758.64 × 1,241.43
  4. Step 4: Simplify right side
    3,838.53x = 7,148,942.25
  5. Step 5: Solve for x
    x = 7,148,942.25/3,838.53
  6. Step 6: Final answer
    x = 1,862.42

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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.