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Finding the Fourth Proportional to 3,838.95, 5,756.54 and 1,241.55

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Solution

The fourth proportional to 3,838.95, 5,756.54 and 1,241.55 is: 1,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.95 : 5,756.54 = 1,241.55 : x
  2. Step 2: Convert to fraction form
    3,838.95/5,756.54 = 1,241.55/x
  3. Step 3: Cross multiply
    3,838.95x = 5,756.54 × 1,241.55
  4. Step 4: Simplify right side
    3,838.95x = 7,147,026.03
  5. Step 5: Solve for x
    x = 7,147,026.03/3,838.95
  6. Step 6: Final answer
    x = 1,861.71

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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.