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Finding the Fourth Proportional to 3,838.64, 5,757.87 and 1,989.14

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Solution

The fourth proportional to 3,838.64, 5,757.87 and 1,989.14 is: 2,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.64 : 5,757.87 = 1,989.14 : x
  2. Step 2: Convert to fraction form
    3,838.64/5,757.87 = 1,989.14/x
  3. Step 3: Cross multiply
    3,838.64x = 5,757.87 × 1,989.14
  4. Step 4: Simplify right side
    3,838.64x = 11,453,209.53
  5. Step 5: Solve for x
    x = 11,453,209.53/3,838.64
  6. Step 6: Final answer
    x = 2,983.66

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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.