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Finding the Fourth Proportional to 3,838.27, 5,757.14 and 1,497.84

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Solution

The fourth proportional to 3,838.27, 5,757.14 and 1,497.84 is: 2,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.27 : 5,757.14 = 1,497.84 : x
  2. Step 2: Convert to fraction form
    3,838.27/5,757.14 = 1,497.84/x
  3. Step 3: Cross multiply
    3,838.27x = 5,757.14 × 1,497.84
  4. Step 4: Simplify right side
    3,838.27x = 8,623,282.80
  5. Step 5: Solve for x
    x = 8,623,282.80/3,838.27
  6. Step 6: Final answer
    x = 2,246.66

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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.