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Finding the Fourth Proportional to 3,981.04, 5,964 and 3,834.88

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Solution

The fourth proportional to 3,981.04, 5,964 and 3,834.88 is: 5,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.04 : 5,964 = 3,834.88 : x
  2. Step 2: Convert to fraction form
    3,981.04/5,964 = 3,834.88/x
  3. Step 3: Cross multiply
    3,981.04x = 5,964 × 3,834.88
  4. Step 4: Simplify right side
    3,981.04x = 22,871,224.32
  5. Step 5: Solve for x
    x = 22,871,224.32/3,981.04
  6. Step 6: Final answer
    x = 5,745.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.