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Finding the Fourth Proportional to 3,838.94, 5,757.26 and 1,647.14

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Solution

The fourth proportional to 3,838.94, 5,757.26 and 1,647.14 is: 2,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.94 : 5,757.26 = 1,647.14 : x
  2. Step 2: Convert to fraction form
    3,838.94/5,757.26 = 1,647.14/x
  3. Step 3: Cross multiply
    3,838.94x = 5,757.26 × 1,647.14
  4. Step 4: Simplify right side
    3,838.94x = 9,483,013.24
  5. Step 5: Solve for x
    x = 9,483,013.24/3,838.94
  6. Step 6: Final answer
    x = 2,470.22

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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.