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Finding the Fourth Proportional to 3,834.32, 5,754.04 and 2,103.44

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Solution

The fourth proportional to 3,834.32, 5,754.04 and 2,103.44 is: 3,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.32 : 5,754.04 = 2,103.44 : x
  2. Step 2: Convert to fraction form
    3,834.32/5,754.04 = 2,103.44/x
  3. Step 3: Cross multiply
    3,834.32x = 5,754.04 × 2,103.44
  4. Step 4: Simplify right side
    3,834.32x = 12,103,277.90
  5. Step 5: Solve for x
    x = 12,103,277.90/3,834.32
  6. Step 6: Final answer
    x = 3,156.56

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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.