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Finding the Fourth Proportional to 3,838.48, 5,758.68 and 1,241.68

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Solution

The fourth proportional to 3,838.48, 5,758.68 and 1,241.68 is: 1,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.48 : 5,758.68 = 1,241.68 : x
  2. Step 2: Convert to fraction form
    3,838.48/5,758.68 = 1,241.68/x
  3. Step 3: Cross multiply
    3,838.48x = 5,758.68 × 1,241.68
  4. Step 4: Simplify right side
    3,838.48x = 7,150,437.78
  5. Step 5: Solve for x
    x = 7,150,437.78/3,838.48
  6. Step 6: Final answer
    x = 1,862.83

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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.