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Finding the Fourth Proportional to 3,834.02, 5,751.20 and 1,335.23

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Solution

The fourth proportional to 3,834.02, 5,751.20 and 1,335.23 is: 2,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.02 : 5,751.20 = 1,335.23 : x
  2. Step 2: Convert to fraction form
    3,834.02/5,751.20 = 1,335.23/x
  3. Step 3: Cross multiply
    3,834.02x = 5,751.20 × 1,335.23
  4. Step 4: Simplify right side
    3,834.02x = 7,679,174.78
  5. Step 5: Solve for x
    x = 7,679,174.78/3,834.02
  6. Step 6: Final answer
    x = 2,002.90

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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.